# How do you find the HCF?

## How do you find the HCF?

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.

## What is HCF and example?

HCF : The largest number that divides two or more numbers is the highest common factor (HCF) for those numbers. For example, consider the numbers 30 (2 x 3 x 5), 36 (2 x 2 x 3 x 3), 42 (2 x 3 x 7), 45 (3 x 3 x 5). 3 is the largest number that divides each of these numbers, and hence, is the HCF for these numbers.

What HCF means?

highest common factor. noun. the largest number or quantity that is a factor of each member of a group of numbers or quantitiesAbbreviation: HCF, h.c.f Also called: greatest common divisor.

### What is the HCF of 24 and 36?

12
Thus the HCF of 24 and 36 is 12.

### How do you find the HCF in math?

The highest common factor is found by multiplying all the factors which appear in both lists: So the HCF of 60 and 72 is 2 × 2 × 3 which is 12. The lowest common multiple is found by multiplying all the factors which appear in either list: So the LCM of 60 and 72 is 2 × 2 × 2 × 3 × 3 × 5 which is 360.

What is the HCF of 10?

Factors of 10 = 1, 2, 5 and 10. Therefore, common factor of 15 and 10 = 1 and 5. Highest common factor (H.C.F) of 15 and 10 = 5.

## What is HCF and LCM in maths?

The H.C.F. defines the greatest factor present in between given two or more numbers, whereas L.C.M. defines the least number which is exactly divisible by two or more numbers. H.C.F. is also called the greatest common factor (GCF) and LCM is also called the Least Common Divisor.

## What is the HCF of 48?

The HCF of 48 and 54 is 6. To calculate the Highest common factor of 48 and 54, we need to factor each number (factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48; factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54) and choose the highest factor that exactly divides both 48 and 54, i.e., 6.

What is the HCF of 18 and 48?

6
Answer: HCF of 18 and 48 is 6.

### What is the HCF of 3 and 6?

3
The HCF of 3 and 6 is 3.

### What is the HCF of 36 and 48?

The HCF of 36 and 48 is 12. To calculate the HCF (Highest Common Factor) of 36 and 48, we need to factor each number (factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36; factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48) and choose the highest factor that exactly divides both 36 and 48, i.e., 12.

Is HCF and GCF the same?

In greatest common factor (G.C.F)or highest common factor (H.C.F) or greatest common divisor (G.C.D), we know that there is no difference between them.

## How to calculate HCF?

Write down each number as the product of its prime factors.

• Now,list down the common factors from the given numbers.
• The largest number,which is found in the common factors is the HCF of the given numbers.
• ## How to find the greatest common factor?

List the prime factors of each number.

• Multiply common prime factors.
• If there are no common prime factors,the GCF (Greatest Common Factor) is 1 1.
• How do you find HCF?

HCF by division method can be calculated in two different ways that are stated below: Case 1: How to Find HCF of 2 Numbers. Step 1: first of all you have to divide the larger number by the smaller number. Step 2: Divisor of step 1 is divided by its remainder.

### What is the highest common factor?

The Highest Common Factor (H.C.F) of two (or more) numbers is the largest number that divides evenly into both numbers. In other words the H.C.F is the largest of all the common factors. The common factors or of 12 and 18 are 1, 2, 3 and 6.