Greatest Common Factor of 9370/428, 7394/6137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9370/428, 7394/6137

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 9370/428,7394/6137

Given fractions are 9370/428,7394/6137

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 9370,7394

Greatest Common Factor of Numerators i.e. GCF of 9370,7394 is 2 .

LCM of Denominators means LCM of 428,6137 as per the given fractions.

LCM of 428,6137 is 2626636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9370,7394

GCF of Fractions 9370/428,7394/6137 is 2/2626636

2 9370, 7394
4685, 3697

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

Greatest Common Factor of 9370,7394 By Matching Biggest Common Factor Method

Greatest Common Factor of 9370,7394 By Matching Biggest Common Factor Method

Factors of 9370

List of positive integer factors of 9370 that divides 9370 without a remainder.

1,2,5,10,937,1874,4685,9370

Factors of 7394

List of positive integer factors of 7394 that divides 7394 without a remainder.

1,2,3697,7394

Greatest Common Factor

We found the factors 9370,7394 . The biggest common factor number is the GCF number.
So the greatest common factor 9370,7394 is 2.

Lets's calculate LCM of 428,6137

Given numbers has no common factors except 1. So, there LCM is their product i.e 2626636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2626636

Therefore, the GCF of Fractions 9370/428,7394/6137 is 2/2626636

Least Common Multiple of 428,6137 with GCF Formula

Least Common Multiple of 428,6137 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 428,6137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,6137) = 1

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

GCF(428,6137) x common factors =1 x 1 = 1

LCM(428,6137) = ( 428 × 6137 ) / 1

LCM(428,6137) = 2626636 / 1

LCM(428,6137) = 2626636


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 9370/428, 7394/6137

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 9370/428, 7394/6137?

Answer: GCF of Numerators as per given numbers 9370/428, 7394/6137 is

GCF of Numerators i.e. for 9370,7394 is 2

LCM of denominators i.e. for 428,6137 is 2626636.

Thus, GCF of Fractions is 2/2626636.Finally, GCF of Fractions for 9370/428, 7394/6137 is 2/2626636.