Greatest Common Factor of 5251/657, 7253/5973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5251/657, 7253/5973

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 5251/657,7253/5973

Given fractions are 5251/657,7253/5973

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 5251,7253

Greatest Common Factor of Numerators i.e. GCF of 5251,7253 is 1 .

LCM of Denominators means LCM of 657,5973 as per the given fractions.

LCM of 657,5973 is 1308087 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5251,7253

GCF of Fractions 5251/657,7253/5973 is 1/1308087

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

Greatest Common Factor of 5251,7253 By Matching Biggest Common Factor Method

Greatest Common Factor of 5251,7253 By Matching Biggest Common Factor Method

Factors of 5251

List of positive integer factors of 5251 that divides 5251 without a remainder.

1,59,89,5251

Factors of 7253

List of positive integer factors of 7253 that divides 7253 without a remainder.

1,7253

Greatest Common Factor

We found the factors 5251,7253 . The biggest common factor number is the GCF number.
So the greatest common factor 5251,7253 is 1.

Lets's calculate LCM of 657,5973

3 657, 5973
219, 1991

∴ So the LCM of the given numbers is 3 x 219 x 1991 = 1308087

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1308087

Therefore, the GCF of Fractions 5251/657,7253/5973 is 1/1308087

Least Common Multiple of 657,5973 with GCF Formula

Least Common Multiple of 657,5973 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 657,5973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(657,5973) = 3

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

GCF(657,5973) x common factors =3 x 1 = 3

LCM(657,5973) = ( 657 × 5973 ) / 3

LCM(657,5973) = 3924261 / 3

LCM(657,5973) = 1308087


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 5251/657, 7253/5973

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 5251/657, 7253/5973?

Answer: GCF of Numerators as per given numbers 5251/657, 7253/5973 is

GCF of Numerators i.e. for 5251,7253 is 1

LCM of denominators i.e. for 657,5973 is 1308087.

Thus, GCF of Fractions is 1/1308087.Finally, GCF of Fractions for 5251/657, 7253/5973 is 1/1308087.