Greatest Common Factor of 744/7342, 876/9475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 744/7342, 876/9475

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 744/7342,876/9475

Given fractions are 744/7342,876/9475

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 744,876

Greatest Common Factor of Numerators i.e. GCF of 744,876 is 12 .

LCM of Denominators means LCM of 7342,9475 as per the given fractions.

LCM of 7342,9475 is 69565450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 744,876

GCF of Fractions 744/7342,876/9475 is 12/69565450

2 744, 876
2 372, 438
3 186, 219
62, 73

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 744,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,876 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 744,876 . The biggest common factor number is the GCF number.
So the greatest common factor 744,876 is 12.

Lets's calculate LCM of 7342,9475

Given numbers has no common factors except 1. So, there LCM is their product i.e 69565450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/69565450

Therefore, the GCF of Fractions 744/7342,876/9475 is 12/69565450

Least Common Multiple of 7342,9475 with GCF Formula

Least Common Multiple of 7342,9475 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 7342,9475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7342,9475) = 1

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

GCF(7342,9475) x common factors =1 x 1 = 1

LCM(7342,9475) = ( 7342 × 9475 ) / 1

LCM(7342,9475) = 69565450 / 1

LCM(7342,9475) = 69565450


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 744/7342, 876/9475

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 744/7342, 876/9475?

Answer: GCF of Numerators as per given numbers 744/7342, 876/9475 is

GCF of Numerators i.e. for 744,876 is 12

LCM of denominators i.e. for 7342,9475 is 69565450.

Thus, GCF of Fractions is 12/69565450.Finally, GCF of Fractions for 744/7342, 876/9475 is 12/69565450.