Greatest Common Factor of 8492/21, 7631/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8492/21, 7631/725

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 8492/21,7631/725

Given fractions are 8492/21,7631/725

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 8492,7631

Greatest Common Factor of Numerators i.e. GCF of 8492,7631 is 1 .

LCM of Denominators means LCM of 21,725 as per the given fractions.

LCM of 21,725 is 15225 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8492,7631

GCF of Fractions 8492/21,7631/725 is 1/15225

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

Greatest Common Factor of 8492,7631 By Matching Biggest Common Factor Method

Greatest Common Factor of 8492,7631 By Matching Biggest Common Factor Method

Factors of 8492

List of positive integer factors of 8492 that divides 8492 without a remainder.

1,2,4,11,22,44,193,386,772,2123,4246,8492

Factors of 7631

List of positive integer factors of 7631 that divides 7631 without a remainder.

1,13,587,7631

Greatest Common Factor

We found the factors 8492,7631 . The biggest common factor number is the GCF number.
So the greatest common factor 8492,7631 is 1.

Lets's calculate LCM of 21,725

Given numbers has no common factors except 1. So, there LCM is their product i.e 15225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15225

Therefore, the GCF of Fractions 8492/21,7631/725 is 1/15225

Least Common Multiple of 21,725 with GCF Formula

Least Common Multiple of 21,725 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 21,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,725) = 1

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

GCF(21,725) x common factors =1 x 1 = 1

LCM(21,725) = ( 21 × 725 ) / 1

LCM(21,725) = 15225 / 1

LCM(21,725) = 15225


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 8492/21, 7631/725

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 8492/21, 7631/725?

Answer: GCF of Numerators as per given numbers 8492/21, 7631/725 is

GCF of Numerators i.e. for 8492,7631 is 1

LCM of denominators i.e. for 21,725 is 15225.

Thus, GCF of Fractions is 1/15225.Finally, GCF of Fractions for 8492/21, 7631/725 is 1/15225.