Greatest Common Factor of 6924/976, 5274/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6924/976, 5274/858

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 6924/976,5274/858

Given fractions are 6924/976,5274/858

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 6924,5274

Greatest Common Factor of Numerators i.e. GCF of 6924,5274 is 6 .

LCM of Denominators means LCM of 976,858 as per the given fractions.

LCM of 976,858 is 418704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6924,5274

GCF of Fractions 6924/976,5274/858 is 6/418704

2 6924, 5274
3 3462, 2637
1154, 879

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 6924,5274 By Matching Biggest Common Factor Method

Greatest Common Factor of 6924,5274 By Matching Biggest Common Factor Method

Factors of 6924

List of positive integer factors of 6924 that divides 6924 without a remainder.

1,2,3,4,6,12,577,1154,1731,2308,3462,6924

Factors of 5274

List of positive integer factors of 5274 that divides 5274 without a remainder.

1,2,3,6,9,18,293,586,879,1758,2637,5274

Greatest Common Factor

We found the factors 6924,5274 . The biggest common factor number is the GCF number.
So the greatest common factor 6924,5274 is 6.

Lets's calculate LCM of 976,858

2 976, 858
488, 429

∴ So the LCM of the given numbers is 2 x 488 x 429 = 418704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/418704

Therefore, the GCF of Fractions 6924/976,5274/858 is 6/418704

Least Common Multiple of 976,858 with GCF Formula

Least Common Multiple of 976,858 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 976,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,858) = 2

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

GCF(976,858) x common factors =2 x 1 = 2

LCM(976,858) = ( 976 × 858 ) / 2

LCM(976,858) = 837408 / 2

LCM(976,858) = 418704


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 6924/976, 5274/858

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 6924/976, 5274/858?

Answer: GCF of Numerators as per given numbers 6924/976, 5274/858 is

GCF of Numerators i.e. for 6924,5274 is 6

LCM of denominators i.e. for 976,858 is 418704.

Thus, GCF of Fractions is 6/418704.Finally, GCF of Fractions for 6924/976, 5274/858 is 6/418704.