Greatest Common Factor of 6925/522, 3008/1968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6925/522, 3008/1968

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 6925/522,3008/1968

Given fractions are 6925/522,3008/1968

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 6925,3008

Greatest Common Factor of Numerators i.e. GCF of 6925,3008 is 1 .

LCM of Denominators means LCM of 522,1968 as per the given fractions.

LCM of 522,1968 is 171216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6925,3008

GCF of Fractions 6925/522,3008/1968 is 1/171216

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

Greatest Common Factor of 6925,3008 By Matching Biggest Common Factor Method

Greatest Common Factor of 6925,3008 By Matching Biggest Common Factor Method

Factors of 6925

List of positive integer factors of 6925 that divides 6925 without a remainder.

1,5,25,277,1385,6925

Factors of 3008

List of positive integer factors of 3008 that divides 3008 without a remainder.

1,2,4,8,16,32,47,64,94,188,376,752,1504,3008

Greatest Common Factor

We found the factors 6925,3008 . The biggest common factor number is the GCF number.
So the greatest common factor 6925,3008 is 1.

Lets's calculate LCM of 522,1968

2 522, 1968
3 261, 984
87, 328

∴ So the LCM of the given numbers is 2 x 3 x 87 x 328 = 171216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171216

Therefore, the GCF of Fractions 6925/522,3008/1968 is 1/171216

Least Common Multiple of 522,1968 with GCF Formula

Least Common Multiple of 522,1968 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 522,1968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,1968) = 6

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

GCF(522,1968) x common factors =6 x 1 = 6

LCM(522,1968) = ( 522 × 1968 ) / 6

LCM(522,1968) = 1027296 / 6

LCM(522,1968) = 171216


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 6925/522, 3008/1968

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 6925/522, 3008/1968?

Answer: GCF of Numerators as per given numbers 6925/522, 3008/1968 is

GCF of Numerators i.e. for 6925,3008 is 1

LCM of denominators i.e. for 522,1968 is 171216.

Thus, GCF of Fractions is 1/171216.Finally, GCF of Fractions for 6925/522, 3008/1968 is 1/171216.