Greatest Common Factor of 5352/534, 9152/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5352/534, 9152/185

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 5352/534,9152/185

Given fractions are 5352/534,9152/185

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 5352,9152

Greatest Common Factor of Numerators i.e. GCF of 5352,9152 is 8 .

LCM of Denominators means LCM of 534,185 as per the given fractions.

LCM of 534,185 is 98790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5352,9152

GCF of Fractions 5352/534,9152/185 is 8/98790

2 5352, 9152
2 2676, 4576
2 1338, 2288
669, 1144

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

Greatest Common Factor of 5352,9152 By Matching Biggest Common Factor Method

Greatest Common Factor of 5352,9152 By Matching Biggest Common Factor Method

Factors of 5352

List of positive integer factors of 5352 that divides 5352 without a remainder.

1,2,3,4,6,8,12,24,223,446,669,892,1338,1784,2676,5352

Factors of 9152

List of positive integer factors of 9152 that divides 9152 without a remainder.

1,2,4,8,11,13,16,22,26,32,44,52,64,88,104,143,176,208,286,352,416,572,704,832,1144,2288,4576,9152

Greatest Common Factor

We found the factors 5352,9152 . The biggest common factor number is the GCF number.
So the greatest common factor 5352,9152 is 8.

Lets's calculate LCM of 534,185

Given numbers has no common factors except 1. So, there LCM is their product i.e 98790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/98790

Therefore, the GCF of Fractions 5352/534,9152/185 is 8/98790

Least Common Multiple of 534,185 with GCF Formula

Least Common Multiple of 534,185 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 534,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,185) = 1

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

GCF(534,185) x common factors =1 x 1 = 1

LCM(534,185) = ( 534 × 185 ) / 1

LCM(534,185) = 98790 / 1

LCM(534,185) = 98790


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 5352/534, 9152/185

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 5352/534, 9152/185?

Answer: GCF of Numerators as per given numbers 5352/534, 9152/185 is

GCF of Numerators i.e. for 5352,9152 is 8

LCM of denominators i.e. for 534,185 is 98790.

Thus, GCF of Fractions is 8/98790.Finally, GCF of Fractions for 5352/534, 9152/185 is 8/98790.