Greatest Common Factor of 77/61, 33/31, 972/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/61, 33/31, 972/527

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 77/61,33/31,972/527

Given fractions are 77/61,33/31,972/527

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 77,33,972

Greatest Common Factor of Numerators i.e. GCF of 77,33,972 is 1 .

LCM of Denominators means LCM of 61,31,527 as per the given fractions.

LCM of 61,31,527 is 32147 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,33,972

GCF of Fractions 77/61,33/31,972/527 is 1/32147

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

Greatest Common Factor of 77,33,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,33,972 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 77,33,972 . The biggest common factor number is the GCF number.
So the greatest common factor 77,33,972 is 1.

Lets's calculate LCM of 61,31,527

31 61, 31, 527
61, 1, 17

∴ So the LCM of the given numbers is 31 x 61 x 1 x 17 = 32147

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32147

Therefore, the GCF of Fractions 77/61,33/31,972/527 is 1/32147

Least Common Multiple of 61,31,527 with GCF Formula

Least Common Multiple of 61,31,527 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 61,31,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,31,527) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(61,31,527) x common factors =1 x 31 = 31

LCM(61,31,527) = ( 61 × 31 × 527 ) / 31

LCM(61,31,527) = 996557 / 31

LCM(61,31,527) = 32147


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 77/61, 33/31, 972/527

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 77/61, 33/31, 972/527?

Answer: GCF of Numerators as per given numbers 77/61, 33/31, 972/527 is

GCF of Numerators i.e. for 77,33,972 is 1

LCM of denominators i.e. for 61,31,527 is 32147.

Thus, GCF of Fractions is 1/32147.Finally, GCF of Fractions for 77/61, 33/31, 972/527 is 1/32147.