Greatest Common Factor of 660/747, 8701/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 660/747, 8701/821

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 660/747,8701/821

Given fractions are 660/747,8701/821

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 660,8701

Greatest Common Factor of Numerators i.e. GCF of 660,8701 is 11 .

LCM of Denominators means LCM of 747,821 as per the given fractions.

LCM of 747,821 is 613287 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 660,8701

GCF of Fractions 660/747,8701/821 is 11/613287

11 660, 8701
60, 791

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 660,8701 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,8701 By Matching Biggest Common Factor Method

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 8701

List of positive integer factors of 8701 that divides 8701 without a remainder.

1,7,11,77,113,791,1243,8701

Greatest Common Factor

We found the factors 660,8701 . The biggest common factor number is the GCF number.
So the greatest common factor 660,8701 is 11.

Lets's calculate LCM of 747,821

Given numbers has no common factors except 1. So, there LCM is their product i.e 613287

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/613287

Therefore, the GCF of Fractions 660/747,8701/821 is 11/613287

Least Common Multiple of 747,821 with GCF Formula

Least Common Multiple of 747,821 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 747,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,821) = 1

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

GCF(747,821) x common factors =1 x 1 = 1

LCM(747,821) = ( 747 × 821 ) / 1

LCM(747,821) = 613287 / 1

LCM(747,821) = 613287


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 660/747, 8701/821

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 660/747, 8701/821?

Answer: GCF of Numerators as per given numbers 660/747, 8701/821 is

GCF of Numerators i.e. for 660,8701 is 11

LCM of denominators i.e. for 747,821 is 613287.

Thus, GCF of Fractions is 11/613287.Finally, GCF of Fractions for 660/747, 8701/821 is 11/613287.