Greatest Common Factor of 6380/92, 7121/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6380/92, 7121/904

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 6380/92,7121/904

Given fractions are 6380/92,7121/904

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 6380,7121

Greatest Common Factor of Numerators i.e. GCF of 6380,7121 is 1 .

LCM of Denominators means LCM of 92,904 as per the given fractions.

LCM of 92,904 is 20792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6380,7121

GCF of Fractions 6380/92,7121/904 is 1/20792

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

Greatest Common Factor of 6380,7121 By Matching Biggest Common Factor Method

Greatest Common Factor of 6380,7121 By Matching Biggest Common Factor Method

Factors of 6380

List of positive integer factors of 6380 that divides 6380 without a remainder.

1,2,4,5,10,11,20,22,29,44,55,58,110,116,145,220,290,319,580,638,1276,1595,3190,6380

Factors of 7121

List of positive integer factors of 7121 that divides 7121 without a remainder.

1,7121

Greatest Common Factor

We found the factors 6380,7121 . The biggest common factor number is the GCF number.
So the greatest common factor 6380,7121 is 1.

Lets's calculate LCM of 92,904

2 92, 904
2 46, 452
23, 226

∴ So the LCM of the given numbers is 2 x 2 x 23 x 226 = 20792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20792

Therefore, the GCF of Fractions 6380/92,7121/904 is 1/20792

Least Common Multiple of 92,904 with GCF Formula

Least Common Multiple of 92,904 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 92,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,904) = 4

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

GCF(92,904) x common factors =4 x 1 = 4

LCM(92,904) = ( 92 × 904 ) / 4

LCM(92,904) = 83168 / 4

LCM(92,904) = 20792


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 6380/92, 7121/904

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 6380/92, 7121/904?

Answer: GCF of Numerators as per given numbers 6380/92, 7121/904 is

GCF of Numerators i.e. for 6380,7121 is 1

LCM of denominators i.e. for 92,904 is 20792.

Thus, GCF of Fractions is 1/20792.Finally, GCF of Fractions for 6380/92, 7121/904 is 1/20792.