Greatest Common Factor of 8/757, 62/664, 12/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/757, 62/664, 12/974

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 8/757,62/664,12/974

Given fractions are 8/757,62/664,12/974

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 8,62,12

Greatest Common Factor of Numerators i.e. GCF of 8,62,12 is 2 .

LCM of Denominators means LCM of 757,664,974 as per the given fractions.

LCM of 757,664,974 is 244789576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,62,12

GCF of Fractions 8/757,62/664,12/974 is 2/244789576

2 8, 62, 12
4, 31, 6

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8,62,12 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,62,12 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 62

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

1,2,31,62

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Greatest Common Factor

We found the factors 8,62,12 . The biggest common factor number is the GCF number.
So the greatest common factor 8,62,12 is 2.

Lets's calculate LCM of 757,664,974

2 757, 664, 974
757, 332, 487

∴ So the LCM of the given numbers is 2 x 757 x 332 x 487 = 244789576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/244789576

Therefore, the GCF of Fractions 8/757,62/664,12/974 is 2/244789576

Least Common Multiple of 757,664,974 with GCF Formula

Least Common Multiple of 757,664,974 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 757,664,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(757,664,974) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(757,664,974) x common factors =1 x 2 = 2

LCM(757,664,974) = ( 757 × 664 × 974 ) / 2

LCM(757,664,974) = 489579152 / 2

LCM(757,664,974) = 244789576


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 8/757, 62/664, 12/974

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 8/757, 62/664, 12/974?

Answer: GCF of Numerators as per given numbers 8/757, 62/664, 12/974 is

GCF of Numerators i.e. for 8,62,12 is 2

LCM of denominators i.e. for 757,664,974 is 244789576.

Thus, GCF of Fractions is 2/244789576.Finally, GCF of Fractions for 8/757, 62/664, 12/974 is 2/244789576.