Greatest Common Factor of 9920/296, 8393/6252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9920/296, 8393/6252

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 9920/296,8393/6252

Given fractions are 9920/296,8393/6252

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 9920,8393

Greatest Common Factor of Numerators i.e. GCF of 9920,8393 is 1 .

LCM of Denominators means LCM of 296,6252 as per the given fractions.

LCM of 296,6252 is 462648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9920,8393

GCF of Fractions 9920/296,8393/6252 is 1/462648

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

Greatest Common Factor of 9920,8393 By Matching Biggest Common Factor Method

Greatest Common Factor of 9920,8393 By Matching Biggest Common Factor Method

Factors of 9920

List of positive integer factors of 9920 that divides 9920 without a remainder.

1,2,4,5,8,10,16,20,31,32,40,62,64,80,124,155,160,248,310,320,496,620,992,1240,1984,2480,4960,9920

Factors of 8393

List of positive integer factors of 8393 that divides 8393 without a remainder.

1,7,11,77,109,763,1199,8393

Greatest Common Factor

We found the factors 9920,8393 . The biggest common factor number is the GCF number.
So the greatest common factor 9920,8393 is 1.

Lets's calculate LCM of 296,6252

2 296, 6252
2 148, 3126
74, 1563

∴ So the LCM of the given numbers is 2 x 2 x 74 x 1563 = 462648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/462648

Therefore, the GCF of Fractions 9920/296,8393/6252 is 1/462648

Least Common Multiple of 296,6252 with GCF Formula

Least Common Multiple of 296,6252 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 296,6252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,6252) = 4

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

GCF(296,6252) x common factors =4 x 1 = 4

LCM(296,6252) = ( 296 × 6252 ) / 4

LCM(296,6252) = 1850592 / 4

LCM(296,6252) = 462648


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 9920/296, 8393/6252

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 9920/296, 8393/6252?

Answer: GCF of Numerators as per given numbers 9920/296, 8393/6252 is

GCF of Numerators i.e. for 9920,8393 is 1

LCM of denominators i.e. for 296,6252 is 462648.

Thus, GCF of Fractions is 1/462648.Finally, GCF of Fractions for 9920/296, 8393/6252 is 1/462648.