Greatest Common Factor of 4297/534, 7726/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4297/534, 7726/837

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 4297/534,7726/837

Given fractions are 4297/534,7726/837

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 4297,7726

Greatest Common Factor of Numerators i.e. GCF of 4297,7726 is 1 .

LCM of Denominators means LCM of 534,837 as per the given fractions.

LCM of 534,837 is 148986 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4297,7726

GCF of Fractions 4297/534,7726/837 is 1/148986

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

Greatest Common Factor of 4297,7726 By Matching Biggest Common Factor Method

Greatest Common Factor of 4297,7726 By Matching Biggest Common Factor Method

Factors of 4297

List of positive integer factors of 4297 that divides 4297 without a remainder.

1,4297

Factors of 7726

List of positive integer factors of 7726 that divides 7726 without a remainder.

1,2,3863,7726

Greatest Common Factor

We found the factors 4297,7726 . The biggest common factor number is the GCF number.
So the greatest common factor 4297,7726 is 1.

Lets's calculate LCM of 534,837

3 534, 837
178, 279

∴ So the LCM of the given numbers is 3 x 178 x 279 = 148986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148986

Therefore, the GCF of Fractions 4297/534,7726/837 is 1/148986

Least Common Multiple of 534,837 with GCF Formula

Least Common Multiple of 534,837 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 534,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,837) = 3

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

GCF(534,837) x common factors =3 x 1 = 3

LCM(534,837) = ( 534 × 837 ) / 3

LCM(534,837) = 446958 / 3

LCM(534,837) = 148986


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 4297/534, 7726/837

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 4297/534, 7726/837?

Answer: GCF of Numerators as per given numbers 4297/534, 7726/837 is

GCF of Numerators i.e. for 4297,7726 is 1

LCM of denominators i.e. for 534,837 is 148986.

Thus, GCF of Fractions is 1/148986.Finally, GCF of Fractions for 4297/534, 7726/837 is 1/148986.