Greatest Common Factor of 5152/47, 8754/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5152/47, 8754/229

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 5152/47,8754/229

Given fractions are 5152/47,8754/229

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 5152,8754

Greatest Common Factor of Numerators i.e. GCF of 5152,8754 is 2 .

LCM of Denominators means LCM of 47,229 as per the given fractions.

LCM of 47,229 is 10763 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5152,8754

GCF of Fractions 5152/47,8754/229 is 2/10763

2 5152, 8754
2576, 4377

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

Greatest Common Factor of 5152,8754 By Matching Biggest Common Factor Method

Greatest Common Factor of 5152,8754 By Matching Biggest Common Factor Method

Factors of 5152

List of positive integer factors of 5152 that divides 5152 without a remainder.

1,2,4,7,8,14,16,23,28,32,46,56,92,112,161,184,224,322,368,644,736,1288,2576,5152

Factors of 8754

List of positive integer factors of 8754 that divides 8754 without a remainder.

1,2,3,6,1459,2918,4377,8754

Greatest Common Factor

We found the factors 5152,8754 . The biggest common factor number is the GCF number.
So the greatest common factor 5152,8754 is 2.

Lets's calculate LCM of 47,229

Given numbers has no common factors except 1. So, there LCM is their product i.e 10763

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10763

Therefore, the GCF of Fractions 5152/47,8754/229 is 2/10763

Least Common Multiple of 47,229 with GCF Formula

Least Common Multiple of 47,229 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 47,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,229) = 1

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

GCF(47,229) x common factors =1 x 1 = 1

LCM(47,229) = ( 47 × 229 ) / 1

LCM(47,229) = 10763 / 1

LCM(47,229) = 10763


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 5152/47, 8754/229

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 5152/47, 8754/229?

Answer: GCF of Numerators as per given numbers 5152/47, 8754/229 is

GCF of Numerators i.e. for 5152,8754 is 2

LCM of denominators i.e. for 47,229 is 10763.

Thus, GCF of Fractions is 2/10763.Finally, GCF of Fractions for 5152/47, 8754/229 is 2/10763.