Greatest Common Factor of 4259/976, 5221/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4259/976, 5221/972

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 4259/976,5221/972

Given fractions are 4259/976,5221/972

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 4259,5221

Greatest Common Factor of Numerators i.e. GCF of 4259,5221 is 1 .

LCM of Denominators means LCM of 976,972 as per the given fractions.

LCM of 976,972 is 237168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4259,5221

GCF of Fractions 4259/976,5221/972 is 1/237168

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

Greatest Common Factor of 4259,5221 By Matching Biggest Common Factor Method

Greatest Common Factor of 4259,5221 By Matching Biggest Common Factor Method

Factors of 4259

List of positive integer factors of 4259 that divides 4259 without a remainder.

1,4259

Factors of 5221

List of positive integer factors of 5221 that divides 5221 without a remainder.

1,23,227,5221

Greatest Common Factor

We found the factors 4259,5221 . The biggest common factor number is the GCF number.
So the greatest common factor 4259,5221 is 1.

Lets's calculate LCM of 976,972

2 976, 972
2 488, 486
244, 243

∴ So the LCM of the given numbers is 2 x 2 x 244 x 243 = 237168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237168

Therefore, the GCF of Fractions 4259/976,5221/972 is 1/237168

Least Common Multiple of 976,972 with GCF Formula

Least Common Multiple of 976,972 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 976,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,972) = 4

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

GCF(976,972) x common factors =4 x 1 = 4

LCM(976,972) = ( 976 × 972 ) / 4

LCM(976,972) = 948672 / 4

LCM(976,972) = 237168


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 4259/976, 5221/972

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 4259/976, 5221/972?

Answer: GCF of Numerators as per given numbers 4259/976, 5221/972 is

GCF of Numerators i.e. for 4259,5221 is 1

LCM of denominators i.e. for 976,972 is 237168.

Thus, GCF of Fractions is 1/237168.Finally, GCF of Fractions for 4259/976, 5221/972 is 1/237168.