Greatest Common Factor of 6325/926, 2885/7940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6325/926, 2885/7940

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 6325/926,2885/7940

Given fractions are 6325/926,2885/7940

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 6325,2885

Greatest Common Factor of Numerators i.e. GCF of 6325,2885 is 5 .

LCM of Denominators means LCM of 926,7940 as per the given fractions.

LCM of 926,7940 is 3676220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6325,2885

GCF of Fractions 6325/926,2885/7940 is 5/3676220

5 6325, 2885
1265, 577

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6325,2885 By Matching Biggest Common Factor Method

Greatest Common Factor of 6325,2885 By Matching Biggest Common Factor Method

Factors of 6325

List of positive integer factors of 6325 that divides 6325 without a remainder.

1,5,11,23,25,55,115,253,275,575,1265,6325

Factors of 2885

List of positive integer factors of 2885 that divides 2885 without a remainder.

1,5,577,2885

Greatest Common Factor

We found the factors 6325,2885 . The biggest common factor number is the GCF number.
So the greatest common factor 6325,2885 is 5.

Lets's calculate LCM of 926,7940

2 926, 7940
463, 3970

∴ So the LCM of the given numbers is 2 x 463 x 3970 = 3676220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3676220

Therefore, the GCF of Fractions 6325/926,2885/7940 is 5/3676220

Least Common Multiple of 926,7940 with GCF Formula

Least Common Multiple of 926,7940 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 926,7940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,7940) = 2

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

GCF(926,7940) x common factors =2 x 1 = 2

LCM(926,7940) = ( 926 × 7940 ) / 2

LCM(926,7940) = 7352440 / 2

LCM(926,7940) = 3676220


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 6325/926, 2885/7940

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 6325/926, 2885/7940?

Answer: GCF of Numerators as per given numbers 6325/926, 2885/7940 is

GCF of Numerators i.e. for 6325,2885 is 5

LCM of denominators i.e. for 926,7940 is 3676220.

Thus, GCF of Fractions is 5/3676220.Finally, GCF of Fractions for 6325/926, 2885/7940 is 5/3676220.