Greatest Common Factor of 567/87, 755/91, 527/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 567/87, 755/91, 527/816

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 567/87,755/91,527/816

Given fractions are 567/87,755/91,527/816

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 567,755,527

Greatest Common Factor of Numerators i.e. GCF of 567,755,527 is 1 .

LCM of Denominators means LCM of 87,91,816 as per the given fractions.

LCM of 87,91,816 is 2153424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 567,755,527

GCF of Fractions 567/87,755/91,527/816 is 1/2153424

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 567,755,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,755,527 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 567,755,527 . The biggest common factor number is the GCF number.
So the greatest common factor 567,755,527 is 1.

Lets's calculate LCM of 87,91,816

3 87, 91, 816
29, 91, 272

∴ So the LCM of the given numbers is 3 x 29 x 91 x 272 = 2153424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2153424

Therefore, the GCF of Fractions 567/87,755/91,527/816 is 1/2153424

Least Common Multiple of 87,91,816 with GCF Formula

Least Common Multiple of 87,91,816 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 87,91,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,91,816) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,91,816) x common factors =1 x 3 = 3

LCM(87,91,816) = ( 87 × 91 × 816 ) / 3

LCM(87,91,816) = 6460272 / 3

LCM(87,91,816) = 2153424


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 567/87, 755/91, 527/816

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 567/87, 755/91, 527/816?

Answer: GCF of Numerators as per given numbers 567/87, 755/91, 527/816 is

GCF of Numerators i.e. for 567,755,527 is 1

LCM of denominators i.e. for 87,91,816 is 2153424.

Thus, GCF of Fractions is 1/2153424.Finally, GCF of Fractions for 567/87, 755/91, 527/816 is 1/2153424.