Greatest Common Factor of 877/81, 660/79, 763/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 877/81, 660/79, 763/17

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 877/81,660/79,763/17

Given fractions are 877/81,660/79,763/17

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 877,660,763

Greatest Common Factor of Numerators i.e. GCF of 877,660,763 is 1 .

LCM of Denominators means LCM of 81,79,17 as per the given fractions.

LCM of 81,79,17 is 108783 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 877,660,763

GCF of Fractions 877/81,660/79,763/17 is 1/108783

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

Greatest Common Factor of 877,660,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 877,660,763 By Matching Biggest Common Factor Method

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 877,660,763 . The biggest common factor number is the GCF number.
So the greatest common factor 877,660,763 is 1.

Lets's calculate LCM of 81,79,17

Given numbers has no common factors except 1. So, there LCM is their product i.e 108783

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108783

Therefore, the GCF of Fractions 877/81,660/79,763/17 is 1/108783

Least Common Multiple of 81,79,17 with GCF Formula

Least Common Multiple of 81,79,17 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 81,79,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,79,17) = 1

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

GCF(81,79,17) x common factors =1 x 1 = 1

LCM(81,79,17) = ( 81 × 79 × 17 ) / 1

LCM(81,79,17) = 108783 / 1

LCM(81,79,17) = 108783


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 877/81, 660/79, 763/17

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 877/81, 660/79, 763/17?

Answer: GCF of Numerators as per given numbers 877/81, 660/79, 763/17 is

GCF of Numerators i.e. for 877,660,763 is 1

LCM of denominators i.e. for 81,79,17 is 108783.

Thus, GCF of Fractions is 1/108783.Finally, GCF of Fractions for 877/81, 660/79, 763/17 is 1/108783.