Greatest Common Factor of 1247/252, 1254/7138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1247/252, 1254/7138

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 1247/252,1254/7138

Given fractions are 1247/252,1254/7138

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 1247,1254

Greatest Common Factor of Numerators i.e. GCF of 1247,1254 is 1 .

LCM of Denominators means LCM of 252,7138 as per the given fractions.

LCM of 252,7138 is 899388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1247,1254

GCF of Fractions 1247/252,1254/7138 is 1/899388

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

Greatest Common Factor of 1247,1254 By Matching Biggest Common Factor Method

Greatest Common Factor of 1247,1254 By Matching Biggest Common Factor Method

Factors of 1247

List of positive integer factors of 1247 that divides 1247 without a remainder.

1,29,43,1247

Factors of 1254

List of positive integer factors of 1254 that divides 1254 without a remainder.

1,2,3,6,11,19,22,33,38,57,66,114,209,418,627,1254

Greatest Common Factor

We found the factors 1247,1254 . The biggest common factor number is the GCF number.
So the greatest common factor 1247,1254 is 1.

Lets's calculate LCM of 252,7138

2 252, 7138
126, 3569

∴ So the LCM of the given numbers is 2 x 126 x 3569 = 899388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/899388

Therefore, the GCF of Fractions 1247/252,1254/7138 is 1/899388

Least Common Multiple of 252,7138 with GCF Formula

Least Common Multiple of 252,7138 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 252,7138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,7138) = 2

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

GCF(252,7138) x common factors =2 x 1 = 2

LCM(252,7138) = ( 252 × 7138 ) / 2

LCM(252,7138) = 1798776 / 2

LCM(252,7138) = 899388


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 1247/252, 1254/7138

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 1247/252, 1254/7138?

Answer: GCF of Numerators as per given numbers 1247/252, 1254/7138 is

GCF of Numerators i.e. for 1247,1254 is 1

LCM of denominators i.e. for 252,7138 is 899388.

Thus, GCF of Fractions is 1/899388.Finally, GCF of Fractions for 1247/252, 1254/7138 is 1/899388.