Greatest Common Factor of 8296/754, 9812/2168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8296/754, 9812/2168

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 8296/754,9812/2168

Given fractions are 8296/754,9812/2168

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 8296,9812

Greatest Common Factor of Numerators i.e. GCF of 8296,9812 is 4 .

LCM of Denominators means LCM of 754,2168 as per the given fractions.

LCM of 754,2168 is 817336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8296,9812

GCF of Fractions 8296/754,9812/2168 is 4/817336

2 8296, 9812
2 4148, 4906
2074, 2453

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8296,9812 By Matching Biggest Common Factor Method

Greatest Common Factor of 8296,9812 By Matching Biggest Common Factor Method

Factors of 8296

List of positive integer factors of 8296 that divides 8296 without a remainder.

1,2,4,8,17,34,61,68,122,136,244,488,1037,2074,4148,8296

Factors of 9812

List of positive integer factors of 9812 that divides 9812 without a remainder.

1,2,4,11,22,44,223,446,892,2453,4906,9812

Greatest Common Factor

We found the factors 8296,9812 . The biggest common factor number is the GCF number.
So the greatest common factor 8296,9812 is 4.

Lets's calculate LCM of 754,2168

2 754, 2168
377, 1084

∴ So the LCM of the given numbers is 2 x 377 x 1084 = 817336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/817336

Therefore, the GCF of Fractions 8296/754,9812/2168 is 4/817336

Least Common Multiple of 754,2168 with GCF Formula

Least Common Multiple of 754,2168 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 754,2168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,2168) = 2

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

GCF(754,2168) x common factors =2 x 1 = 2

LCM(754,2168) = ( 754 × 2168 ) / 2

LCM(754,2168) = 1634672 / 2

LCM(754,2168) = 817336


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 8296/754, 9812/2168

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 8296/754, 9812/2168?

Answer: GCF of Numerators as per given numbers 8296/754, 9812/2168 is

GCF of Numerators i.e. for 8296,9812 is 4

LCM of denominators i.e. for 754,2168 is 817336.

Thus, GCF of Fractions is 4/817336.Finally, GCF of Fractions for 8296/754, 9812/2168 is 4/817336.