Greatest Common Factor of 5274/99, 6432/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5274/99, 6432/918

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 5274/99,6432/918

Given fractions are 5274/99,6432/918

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 5274,6432

Greatest Common Factor of Numerators i.e. GCF of 5274,6432 is 6 .

LCM of Denominators means LCM of 99,918 as per the given fractions.

LCM of 99,918 is 10098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5274,6432

GCF of Fractions 5274/99,6432/918 is 6/10098

2 5274, 6432
3 2637, 3216
879, 1072

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5274,6432 By Matching Biggest Common Factor Method

Greatest Common Factor of 5274,6432 By Matching Biggest Common Factor Method

Factors of 5274

List of positive integer factors of 5274 that divides 5274 without a remainder.

1,2,3,6,9,18,293,586,879,1758,2637,5274

Factors of 6432

List of positive integer factors of 6432 that divides 6432 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,67,96,134,201,268,402,536,804,1072,1608,2144,3216,6432

Greatest Common Factor

We found the factors 5274,6432 . The biggest common factor number is the GCF number.
So the greatest common factor 5274,6432 is 6.

Lets's calculate LCM of 99,918

3 99, 918
3 33, 306
11, 102

∴ So the LCM of the given numbers is 3 x 3 x 11 x 102 = 10098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/10098

Therefore, the GCF of Fractions 5274/99,6432/918 is 6/10098

Least Common Multiple of 99,918 with GCF Formula

Least Common Multiple of 99,918 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 99,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,918) = 9

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

GCF(99,918) x common factors =9 x 1 = 9

LCM(99,918) = ( 99 × 918 ) / 9

LCM(99,918) = 90882 / 9

LCM(99,918) = 10098


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 5274/99, 6432/918

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 5274/99, 6432/918?

Answer: GCF of Numerators as per given numbers 5274/99, 6432/918 is

GCF of Numerators i.e. for 5274,6432 is 6

LCM of denominators i.e. for 99,918 is 10098.

Thus, GCF of Fractions is 6/10098.Finally, GCF of Fractions for 5274/99, 6432/918 is 6/10098.