Greatest Common Factor of 9659/748, 4263/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9659/748, 4263/524

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 9659/748,4263/524

Given fractions are 9659/748,4263/524

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 9659,4263

Greatest Common Factor of Numerators i.e. GCF of 9659,4263 is 1 .

LCM of Denominators means LCM of 748,524 as per the given fractions.

LCM of 748,524 is 97988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9659,4263

GCF of Fractions 9659/748,4263/524 is 1/97988

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

Greatest Common Factor of 9659,4263 By Matching Biggest Common Factor Method

Greatest Common Factor of 9659,4263 By Matching Biggest Common Factor Method

Factors of 9659

List of positive integer factors of 9659 that divides 9659 without a remainder.

1,13,743,9659

Factors of 4263

List of positive integer factors of 4263 that divides 4263 without a remainder.

1,3,7,21,29,49,87,147,203,609,1421,4263

Greatest Common Factor

We found the factors 9659,4263 . The biggest common factor number is the GCF number.
So the greatest common factor 9659,4263 is 1.

Lets's calculate LCM of 748,524

2 748, 524
2 374, 262
187, 131

∴ So the LCM of the given numbers is 2 x 2 x 187 x 131 = 97988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97988

Therefore, the GCF of Fractions 9659/748,4263/524 is 1/97988

Least Common Multiple of 748,524 with GCF Formula

Least Common Multiple of 748,524 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 748,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,524) = 4

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

GCF(748,524) x common factors =4 x 1 = 4

LCM(748,524) = ( 748 × 524 ) / 4

LCM(748,524) = 391952 / 4

LCM(748,524) = 97988


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 9659/748, 4263/524

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 9659/748, 4263/524?

Answer: GCF of Numerators as per given numbers 9659/748, 4263/524 is

GCF of Numerators i.e. for 9659,4263 is 1

LCM of denominators i.e. for 748,524 is 97988.

Thus, GCF of Fractions is 1/97988.Finally, GCF of Fractions for 9659/748, 4263/524 is 1/97988.