Greatest Common Factor of 5763/657, 5253/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5763/657, 5253/269

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 5763/657,5253/269

Given fractions are 5763/657,5253/269

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 5763,5253

Greatest Common Factor of Numerators i.e. GCF of 5763,5253 is 51 .

LCM of Denominators means LCM of 657,269 as per the given fractions.

LCM of 657,269 is 176733 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5763,5253

GCF of Fractions 5763/657,5253/269 is 51/176733

3 5763, 5253
17 1921, 1751
113, 103

∴ So the GCF of the given numbers is 3 x 17 = 51

Greatest Common Factor of 5763,5253 By Matching Biggest Common Factor Method

Greatest Common Factor of 5763,5253 By Matching Biggest Common Factor Method

Factors of 5763

List of positive integer factors of 5763 that divides 5763 without a remainder.

1,3,17,51,113,339,1921,5763

Factors of 5253

List of positive integer factors of 5253 that divides 5253 without a remainder.

1,3,17,51,103,309,1751,5253

Greatest Common Factor

We found the factors 5763,5253 . The biggest common factor number is the GCF number.
So the greatest common factor 5763,5253 is 51.

Lets's calculate LCM of 657,269

Given numbers has no common factors except 1. So, there LCM is their product i.e 176733

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/176733

Therefore, the GCF of Fractions 5763/657,5253/269 is 51/176733

Least Common Multiple of 657,269 with GCF Formula

Least Common Multiple of 657,269 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 657,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(657,269) = 1

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

GCF(657,269) x common factors =1 x 1 = 1

LCM(657,269) = ( 657 × 269 ) / 1

LCM(657,269) = 176733 / 1

LCM(657,269) = 176733


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 5763/657, 5253/269

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 5763/657, 5253/269?

Answer: GCF of Numerators as per given numbers 5763/657, 5253/269 is

GCF of Numerators i.e. for 5763,5253 is 51

LCM of denominators i.e. for 657,269 is 176733.

Thus, GCF of Fractions is 51/176733.Finally, GCF of Fractions for 5763/657, 5253/269 is 51/176733.