Greatest Common Factor of 5232/110, 4778/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5232/110, 4778/472

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 5232/110,4778/472

Given fractions are 5232/110,4778/472

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 5232,4778

Greatest Common Factor of Numerators i.e. GCF of 5232,4778 is 2 .

LCM of Denominators means LCM of 110,472 as per the given fractions.

LCM of 110,472 is 25960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5232,4778

GCF of Fractions 5232/110,4778/472 is 2/25960

2 5232, 4778
2616, 2389

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

Greatest Common Factor of 5232,4778 By Matching Biggest Common Factor Method

Greatest Common Factor of 5232,4778 By Matching Biggest Common Factor Method

Factors of 5232

List of positive integer factors of 5232 that divides 5232 without a remainder.

1,2,3,4,6,8,12,16,24,48,109,218,327,436,654,872,1308,1744,2616,5232

Factors of 4778

List of positive integer factors of 4778 that divides 4778 without a remainder.

1,2,2389,4778

Greatest Common Factor

We found the factors 5232,4778 . The biggest common factor number is the GCF number.
So the greatest common factor 5232,4778 is 2.

Lets's calculate LCM of 110,472

2 110, 472
55, 236

∴ So the LCM of the given numbers is 2 x 55 x 236 = 25960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25960

Therefore, the GCF of Fractions 5232/110,4778/472 is 2/25960

Least Common Multiple of 110,472 with GCF Formula

Least Common Multiple of 110,472 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 110,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(110,472) = 2

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

GCF(110,472) x common factors =2 x 1 = 2

LCM(110,472) = ( 110 × 472 ) / 2

LCM(110,472) = 51920 / 2

LCM(110,472) = 25960


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 5232/110, 4778/472

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 5232/110, 4778/472?

Answer: GCF of Numerators as per given numbers 5232/110, 4778/472 is

GCF of Numerators i.e. for 5232,4778 is 2

LCM of denominators i.e. for 110,472 is 25960.

Thus, GCF of Fractions is 2/25960.Finally, GCF of Fractions for 5232/110, 4778/472 is 2/25960.