Greatest Common Factor of 8754/214, 7015/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8754/214, 7015/452

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 8754/214,7015/452

Given fractions are 8754/214,7015/452

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 8754,7015

Greatest Common Factor of Numerators i.e. GCF of 8754,7015 is 1 .

LCM of Denominators means LCM of 214,452 as per the given fractions.

LCM of 214,452 is 48364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8754,7015

GCF of Fractions 8754/214,7015/452 is 1/48364

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

Greatest Common Factor of 8754,7015 By Matching Biggest Common Factor Method

Greatest Common Factor of 8754,7015 By Matching Biggest Common Factor Method

Factors of 8754

List of positive integer factors of 8754 that divides 8754 without a remainder.

1,2,3,6,1459,2918,4377,8754

Factors of 7015

List of positive integer factors of 7015 that divides 7015 without a remainder.

1,5,23,61,115,305,1403,7015

Greatest Common Factor

We found the factors 8754,7015 . The biggest common factor number is the GCF number.
So the greatest common factor 8754,7015 is 1.

Lets's calculate LCM of 214,452

2 214, 452
107, 226

∴ So the LCM of the given numbers is 2 x 107 x 226 = 48364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48364

Therefore, the GCF of Fractions 8754/214,7015/452 is 1/48364

Least Common Multiple of 214,452 with GCF Formula

Least Common Multiple of 214,452 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 214,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,452) = 2

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

GCF(214,452) x common factors =2 x 1 = 2

LCM(214,452) = ( 214 × 452 ) / 2

LCM(214,452) = 96728 / 2

LCM(214,452) = 48364


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 8754/214, 7015/452

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 8754/214, 7015/452?

Answer: GCF of Numerators as per given numbers 8754/214, 7015/452 is

GCF of Numerators i.e. for 8754,7015 is 1

LCM of denominators i.e. for 214,452 is 48364.

Thus, GCF of Fractions is 1/48364.Finally, GCF of Fractions for 8754/214, 7015/452 is 1/48364.