Greatest Common Factor of 9488/98, 7502/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9488/98, 7502/922

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 9488/98,7502/922

Given fractions are 9488/98,7502/922

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 9488,7502

Greatest Common Factor of Numerators i.e. GCF of 9488,7502 is 2 .

LCM of Denominators means LCM of 98,922 as per the given fractions.

LCM of 98,922 is 45178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9488,7502

GCF of Fractions 9488/98,7502/922 is 2/45178

2 9488, 7502
4744, 3751

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9488,7502 By Matching Biggest Common Factor Method

Greatest Common Factor of 9488,7502 By Matching Biggest Common Factor Method

Factors of 9488

List of positive integer factors of 9488 that divides 9488 without a remainder.

1,2,4,8,16,593,1186,2372,4744,9488

Factors of 7502

List of positive integer factors of 7502 that divides 7502 without a remainder.

1,2,11,22,31,62,121,242,341,682,3751,7502

Greatest Common Factor

We found the factors 9488,7502 . The biggest common factor number is the GCF number.
So the greatest common factor 9488,7502 is 2.

Lets's calculate LCM of 98,922

2 98, 922
49, 461

∴ So the LCM of the given numbers is 2 x 49 x 461 = 45178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45178

Therefore, the GCF of Fractions 9488/98,7502/922 is 2/45178

Least Common Multiple of 98,922 with GCF Formula

Least Common Multiple of 98,922 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 98,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,922) = 2

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

GCF(98,922) x common factors =2 x 1 = 2

LCM(98,922) = ( 98 × 922 ) / 2

LCM(98,922) = 90356 / 2

LCM(98,922) = 45178


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 9488/98, 7502/922

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 9488/98, 7502/922?

Answer: GCF of Numerators as per given numbers 9488/98, 7502/922 is

GCF of Numerators i.e. for 9488,7502 is 2

LCM of denominators i.e. for 98,922 is 45178.

Thus, GCF of Fractions is 2/45178.Finally, GCF of Fractions for 9488/98, 7502/922 is 2/45178.