Greatest Common Factor of 5328/567, 7617/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5328/567, 7617/263

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 5328/567,7617/263

Given fractions are 5328/567,7617/263

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 5328,7617

Greatest Common Factor of Numerators i.e. GCF of 5328,7617 is 3 .

LCM of Denominators means LCM of 567,263 as per the given fractions.

LCM of 567,263 is 149121 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5328,7617

GCF of Fractions 5328/567,7617/263 is 3/149121

3 5328, 7617
1776, 2539

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5328,7617 By Matching Biggest Common Factor Method

Greatest Common Factor of 5328,7617 By Matching Biggest Common Factor Method

Factors of 5328

List of positive integer factors of 5328 that divides 5328 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,37,48,72,74,111,144,148,222,296,333,444,592,666,888,1332,1776,2664,5328

Factors of 7617

List of positive integer factors of 7617 that divides 7617 without a remainder.

1,3,2539,7617

Greatest Common Factor

We found the factors 5328,7617 . The biggest common factor number is the GCF number.
So the greatest common factor 5328,7617 is 3.

Lets's calculate LCM of 567,263

Given numbers has no common factors except 1. So, there LCM is their product i.e 149121

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/149121

Therefore, the GCF of Fractions 5328/567,7617/263 is 3/149121

Least Common Multiple of 567,263 with GCF Formula

Least Common Multiple of 567,263 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 567,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,263) = 1

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

GCF(567,263) x common factors =1 x 1 = 1

LCM(567,263) = ( 567 × 263 ) / 1

LCM(567,263) = 149121 / 1

LCM(567,263) = 149121


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 5328/567, 7617/263

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 5328/567, 7617/263?

Answer: GCF of Numerators as per given numbers 5328/567, 7617/263 is

GCF of Numerators i.e. for 5328,7617 is 3

LCM of denominators i.e. for 567,263 is 149121.

Thus, GCF of Fractions is 3/149121.Finally, GCF of Fractions for 5328/567, 7617/263 is 3/149121.