Greatest Common Factor of 7527/768, 5475/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 7527/768, 5475/229

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 7527/768,5475/229

Given fractions are 7527/768,5475/229

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 7527,5475

Greatest Common Factor of Numerators i.e. GCF of 7527,5475 is 3 .

LCM of Denominators means LCM of 768,229 as per the given fractions.

LCM of 768,229 is 175872 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7527,5475

GCF of Fractions 7527/768,5475/229 is 3/175872

3 7527, 5475
2509, 1825

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

Greatest Common Factor of 7527,5475 By Matching Biggest Common Factor Method

Greatest Common Factor of 7527,5475 By Matching Biggest Common Factor Method

Factors of 7527

List of positive integer factors of 7527 that divides 7527 without a remainder.

1,3,13,39,193,579,2509,7527

Factors of 5475

List of positive integer factors of 5475 that divides 5475 without a remainder.

1,3,5,15,25,73,75,219,365,1095,1825,5475

Greatest Common Factor

We found the factors 7527,5475 . The biggest common factor number is the GCF number.
So the greatest common factor 7527,5475 is 3.


Lets's calculate LCM of 768,229

Given numbers has no common factors except 1. So, there LCM is their product i.e 175872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/175872

Therefore, the GCF of Fractions 7527/768,5475/229 is 3/175872

Least Common Multiple of 768,229 with GCF Formula

Least Common Multiple of 768,229 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 768,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,229) = 1

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

GCF(768,229) x common factors =1 x 1 = 1

LCM(768,229) = ( 768 × 229 ) / 1

LCM(768,229) = 175872 / 1

LCM(768,229) = 175872


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 7527/768, 5475/229

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 7527/768, 5475/229?

Answer: GCF of Numerators as per given numbers 7527/768, 5475/229 is

GCF of Numerators i.e. for 7527,5475 is 3

LCM of denominators i.e. for 768,229 is 175872.

Thus, GCF of Fractions is 3/175872.Finally, GCF of Fractions for 7527/768, 5475/229 is 3/175872.