Greatest Common Factor of 9152/89, 5247/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9152/89, 5247/355

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 9152/89,5247/355

Given fractions are 9152/89,5247/355

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 9152,5247

Greatest Common Factor of Numerators i.e. GCF of 9152,5247 is 11 .

LCM of Denominators means LCM of 89,355 as per the given fractions.

LCM of 89,355 is 31595 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9152,5247

GCF of Fractions 9152/89,5247/355 is 11/31595

11 9152, 5247
832, 477

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9152,5247 By Matching Biggest Common Factor Method

Greatest Common Factor of 9152,5247 By Matching Biggest Common Factor Method

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

Factors of 5247

List of positive integer factors of 5247 that divides 5247 without a remainder.

1,3,9,11,33,53,99,159,477,583,1749,5247

Greatest Common Factor

We found the factors 9152,5247 . The biggest common factor number is the GCF number.
So the greatest common factor 9152,5247 is 11.

Lets's calculate LCM of 89,355

Given numbers has no common factors except 1. So, there LCM is their product i.e 31595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/31595

Therefore, the GCF of Fractions 9152/89,5247/355 is 11/31595

Least Common Multiple of 89,355 with GCF Formula

Least Common Multiple of 89,355 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 89,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,355) = 1

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

GCF(89,355) x common factors =1 x 1 = 1

LCM(89,355) = ( 89 × 355 ) / 1

LCM(89,355) = 31595 / 1

LCM(89,355) = 31595


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 9152/89, 5247/355

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 9152/89, 5247/355?

Answer: GCF of Numerators as per given numbers 9152/89, 5247/355 is

GCF of Numerators i.e. for 9152,5247 is 11

LCM of denominators i.e. for 89,355 is 31595.

Thus, GCF of Fractions is 11/31595.Finally, GCF of Fractions for 9152/89, 5247/355 is 11/31595.