How do you find the HCF of another number?
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What Does HCF Mean?
In contrast to this, another term frequently discussed in arithmetic is LCM. It stands for Least Common Multiple. In mathematics, the least common multiple or LCM of two numbers X and Y is denoted by the symbol LCM (X, Y). The LCM is the smallest or least positive integer divisible by the numbers we have taken. Let us now take the positive integers 4 and 6 to explain this concept to you. Multiples of 4 include 4, 8, 12, 16, 20, 24, and so on. Multiples of 6 include 6, 12, 18, 24, and so on. From this, we can see that the common multiples of 4 and 6 are numbers such as 12, 24, and so on. Amongst all these numbers, the least common multiple of 4 and 6 is 12. This makes it the LCM of 4 and 6. Here are a Few Highest Common Factor Examples : (Image will be uploaded soon) The above picture shows how you can calculate the H.C.F. of 90 and 30. How to Calculate HSF(Highest Common Factor) of Any Two or More Given Numbers?There are three methods of how to find the highest common factor of any two or more given numbers:
Let’s know how these methods work.
How to Find the HCF of 3 Numbers or How to Find the Highest Common Factor:We can find the HCF of 3 numbers either by Prime Factorisation Method or by Division Method. However, the steps for finding the highest common factor remains the same as above. Here are a few highest common factor examples of how to find the highest common factor, 1. Find the HCF of 3 numbers 15,30 and 90 using the Prime Factorization method. Solution: 15 = 5×3×130= 5×3×2×190= 3×3×2×5×1. The common factors here are 1,3,5. Therefore, the highest common factor of the numbers,15,30 and 90 is 5×3×1=15.2. 2. Find the highest common factor of 184,230 and 276 by using the Division Method. Solution: 46) 230 (6 -184 0 ) 184 (6 -184 0 The Common Factor of 184 and 230 is 46. 46) 276 (6 -276 0 The Highest Common Factor of 276 and 46 is 46. Therefore, the highest common factor(H.C.F.) of 184,230 and 276 is 46. During an exam, students should know proper time management skills. These tips and tricks will help them save time all while allowing them to calculate answers faster.
Solved ExamplesQ1) What is the H.C.F. of 25,30,35 and 40? Sol: Solving by Factorisation Method, 25 = 5×5 30 = 5×3×2 35 = 5×7 40 = 2×2×2×5 Therefore, the H.C.F of the numbers 25,30,35 and 40 is 5. Q2) Find the highest common factor of 64 and 80 by using the prime factorization method? Sol: Solving by Prime Factorization Method, The factors of 64 and 80 are, 64=2×2×2×2×2×2×1 80=2×2×2×2×5×1 Therefore, the Highest Common Factor of 64 and 80 is, 2×2×2×2×1=16 Q3) Find the highest common factor or the Greatest Common Divisor of 16 and 27. Sol: Therefore, the Highest Common Factor of 16 and 27 is 1. Q4) Find the Highest Common Factor (H.C.F.) of 12,15 and 45. Sol: Solving the above-given question using the division Method, 12) 15 (1 -12 3)12(4 -12 0 We come to know that 3 is the Highest Common Factor of 12 and 15. Now, let’s find the Highest Common Factor of 3 and 45. 3) 45 (15 -45 0 Therefore, the Highest Common Factor of the numbers 12,15 and 45 is 3. Q5) Find the H.C.F. of 136,170 and 255 by using the division method. Sol: Let us find the Highest Common factors of 136 and 170 first. 136) 170 (1 -136 34)136(4 -136 0 Highest Common Factor of 170 and 136 is 34. Now, we need to find the H.C.F. of 34 and 255, 34) 255 (7 -238 17)34(2 -34 0 The H.C.F. of 34 and 255 is 17. Therefore, the required highest common factor of 136,170 and 255 is 17. Q6) Find the H.C.F. of 160, 220, 340. Sol: Let us solve the question by using,160 =2×2×2×2×2×5×1220 =2×2×5×11×1340 =2×2×5×17×1So, the numbers common in the sequence are 2×2×5×1. Therefore, the H.C.F of the numbers 160,220 and 340 is 20. Important Terms You Need To Know:Factors - A factor is a number that exactly divides another number without leaving any remainder. Example: 3 and 5 are factors of 15 Prime Factors- A prime factor is a number that does not have any factors except 1 and the number itself. Example: 2,3,5,7,11,13,17 and so on. Factor Tree- A diagram used to list down the prime factors of a number in a tree diagram. Common Factor- A factor is a common factor when it is a factor of two or more numbers. Example: Let’s find out the common factor of 6 and 3. First, list down the factors of both the given numbers. 6=2×3×1 3=3×1 3 is a factor of 6 as well as it is a factor of 3. Hence, 3 is a common factor of 6 and 3. ConclusionWe use the highest common factor to simplify fractions. The highest common factor or the greatest common divisor is the greatest number that divides exactly into two numbers. The article is helpful for students to practise problems on HCF. How do you find the HCF of a number?First, divide the large number by a small number. If the remainder is left, then divide the first divisor by remainder. If the remainder divides the first divisor completely, then it is the HCF or highest common factor of the given two numbers.
How can I quickly find HCF?List all the factors of the two numbers and find the biggest number that's in both lists - that's your HCF. List all the multiples of two numbers and find the smallest number that's in both lists - that's your LCM. Simple!
How do u find the HCF of 2 numbers?The highest common factor (HCF) is found by finding all common factors of two numbers and selecting the largest one. For example, 8 and 12 have common factors of 1, 2 and 4. The highest common factor is 4.
How do you do HCF step by step?Step 1: Divide the largest number by the smallest number. Step 2: Take divisor as new dividend and remainder as the new divisor, i.e. divide the first divisor by the first remainder. Step 3: Proceed till the remainder is zero and the last divisor will be the HCF of the given numbers. Therefore, HCF of 24 and 15 is 3.
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