Greatest Common Factor of 9744/988, 8200/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9744/988, 8200/844

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 9744/988,8200/844

Given fractions are 9744/988,8200/844

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 9744,8200

Greatest Common Factor of Numerators i.e. GCF of 9744,8200 is 8 .

LCM of Denominators means LCM of 988,844 as per the given fractions.

LCM of 988,844 is 208468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9744,8200

GCF of Fractions 9744/988,8200/844 is 8/208468

2 9744, 8200
2 4872, 4100
2 2436, 2050
1218, 1025

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 9744,8200 By Matching Biggest Common Factor Method

Greatest Common Factor of 9744,8200 By Matching Biggest Common Factor Method

Factors of 9744

List of positive integer factors of 9744 that divides 9744 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,29,42,48,56,58,84,87,112,116,168,174,203,232,336,348,406,464,609,696,812,1218,1392,1624,2436,3248,4872,9744

Factors of 8200

List of positive integer factors of 8200 that divides 8200 without a remainder.

1,2,4,5,8,10,20,25,40,41,50,82,100,164,200,205,328,410,820,1025,1640,2050,4100,8200

Greatest Common Factor

We found the factors 9744,8200 . The biggest common factor number is the GCF number.
So the greatest common factor 9744,8200 is 8.

Lets's calculate LCM of 988,844

2 988, 844
2 494, 422
247, 211

∴ So the LCM of the given numbers is 2 x 2 x 247 x 211 = 208468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/208468

Therefore, the GCF of Fractions 9744/988,8200/844 is 8/208468

Least Common Multiple of 988,844 with GCF Formula

Least Common Multiple of 988,844 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 988,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,844) = 4

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

GCF(988,844) x common factors =4 x 1 = 4

LCM(988,844) = ( 988 × 844 ) / 4

LCM(988,844) = 833872 / 4

LCM(988,844) = 208468


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 9744/988, 8200/844

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 9744/988, 8200/844?

Answer: GCF of Numerators as per given numbers 9744/988, 8200/844 is

GCF of Numerators i.e. for 9744,8200 is 8

LCM of denominators i.e. for 988,844 is 208468.

Thus, GCF of Fractions is 8/208468.Finally, GCF of Fractions for 9744/988, 8200/844 is 8/208468.