Greatest Common Factor of 4527/251, 8757/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4527/251, 8757/814

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 4527/251,8757/814

Given fractions are 4527/251,8757/814

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 4527,8757

Greatest Common Factor of Numerators i.e. GCF of 4527,8757 is 9 .

LCM of Denominators means LCM of 251,814 as per the given fractions.

LCM of 251,814 is 204314 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4527,8757

GCF of Fractions 4527/251,8757/814 is 9/204314

3 4527, 8757
3 1509, 2919
503, 973

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 4527,8757 By Matching Biggest Common Factor Method

Greatest Common Factor of 4527,8757 By Matching Biggest Common Factor Method

Factors of 4527

List of positive integer factors of 4527 that divides 4527 without a remainder.

1,3,9,503,1509,4527

Factors of 8757

List of positive integer factors of 8757 that divides 8757 without a remainder.

1,3,7,9,21,63,139,417,973,1251,2919,8757

Greatest Common Factor

We found the factors 4527,8757 . The biggest common factor number is the GCF number.
So the greatest common factor 4527,8757 is 9.

Lets's calculate LCM of 251,814

Given numbers has no common factors except 1. So, there LCM is their product i.e 204314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/204314

Therefore, the GCF of Fractions 4527/251,8757/814 is 9/204314

Least Common Multiple of 251,814 with GCF Formula

Least Common Multiple of 251,814 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 251,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,814) = 1

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

GCF(251,814) x common factors =1 x 1 = 1

LCM(251,814) = ( 251 × 814 ) / 1

LCM(251,814) = 204314 / 1

LCM(251,814) = 204314


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4527/251, 8757/814

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 4527/251, 8757/814?

Answer: GCF of Numerators as per given numbers 4527/251, 8757/814 is

GCF of Numerators i.e. for 4527,8757 is 9

LCM of denominators i.e. for 251,814 is 204314.

Thus, GCF of Fractions is 9/204314.Finally, GCF of Fractions for 4527/251, 8757/814 is 9/204314.