Greatest Common Factor of 62/78, 65/82, 40/18, 64/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 62/78, 65/82, 40/18, 64/78

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 62/78,65/82,40/18,64/78

Given fractions are 62/78,65/82,40/18,64/78

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 62,65,40,64

Greatest Common Factor of Numerators i.e. GCF of 62,65,40,64 is 1 .

LCM of Denominators means LCM of 78,82,18,78 as per the given fractions.

LCM of 78,82,18,78 is 9594 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 62,65,40,64

GCF of Fractions 62/78,65/82,40/18,64/78 is 1/9594

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 62,65,40,64 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,65,40,64 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Greatest Common Factor

We found the factors 62,65,40,64 . The biggest common factor number is the GCF number.
So the greatest common factor 62,65,40,64 is 1.

Lets's calculate LCM of 78,82,18,78

2 78, 82, 18, 78
3 39, 41, 9, 39
13 13, 41, 3, 13
1, 41, 3, 1

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 41 x 3 x 1 = 9594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9594

Therefore, the GCF of Fractions 62/78,65/82,40/18,64/78 is 1/9594

Least Common Multiple of 78,82,18,78 with GCF Formula

Least Common Multiple of 78,82,18,78 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 78,82,18,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,82,18,78) = 2

common factors(in case of two or more numbers have common factors) = 468

GCF(78,82,18,78) x common factors =2 x 468 = 936

LCM(78,82,18,78) = ( 78 × 82 × 18 × 78 ) / 936

LCM(78,82,18,78) = 8979984 / 936

LCM(78,82,18,78) = 9594


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 62/78, 65/82, 40/18, 64/78

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 62/78, 65/82, 40/18, 64/78?

Answer: GCF of Numerators as per given numbers 62/78, 65/82, 40/18, 64/78 is

GCF of Numerators i.e. for 62,65,40,64 is 1

LCM of denominators i.e. for 78,82,18,78 is 9594.

Thus, GCF of Fractions is 1/9594.Finally, GCF of Fractions for 62/78, 65/82, 40/18, 64/78 is 1/9594.