Greatest Common Factor of 754/744, 9512/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 754/744, 9512/685

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 754/744,9512/685

Given fractions are 754/744,9512/685

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 754,9512

Greatest Common Factor of Numerators i.e. GCF of 754,9512 is 58 .

LCM of Denominators means LCM of 744,685 as per the given fractions.

LCM of 744,685 is 509640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 754,9512

GCF of Fractions 754/744,9512/685 is 58/509640

2 754, 9512
29 377, 4756
13, 164

∴ So the GCF of the given numbers is 2 x 29 = 58

Greatest Common Factor of 754,9512 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,9512 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 9512

List of positive integer factors of 9512 that divides 9512 without a remainder.

1,2,4,8,29,41,58,82,116,164,232,328,1189,2378,4756,9512

Greatest Common Factor

We found the factors 754,9512 . The biggest common factor number is the GCF number.
So the greatest common factor 754,9512 is 58.

Lets's calculate LCM of 744,685

Given numbers has no common factors except 1. So, there LCM is their product i.e 509640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/509640

Therefore, the GCF of Fractions 754/744,9512/685 is 58/509640

Least Common Multiple of 744,685 with GCF Formula

Least Common Multiple of 744,685 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 744,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,685) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(744,685) x common factors =1 x 1 = 1

LCM(744,685) = ( 744 × 685 ) / 1

LCM(744,685) = 509640 / 1

LCM(744,685) = 509640


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 754/744, 9512/685

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 754/744, 9512/685?

Answer: GCF of Numerators as per given numbers 754/744, 9512/685 is

GCF of Numerators i.e. for 754,9512 is 58

LCM of denominators i.e. for 744,685 is 509640.

Thus, GCF of Fractions is 58/509640.Finally, GCF of Fractions for 754/744, 9512/685 is 58/509640.