Greatest Common Factor of 801/660, 8010/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 801/660, 8010/517

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 801/660,8010/517

Given fractions are 801/660,8010/517

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 801,8010

Greatest Common Factor of Numerators i.e. GCF of 801,8010 is 801 .

LCM of Denominators means LCM of 660,517 as per the given fractions.

LCM of 660,517 is 31020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 801,8010

GCF of Fractions 801/660,8010/517 is 801/31020

3 801, 8010
3 267, 2670
89 89, 890
1, 10

∴ So the GCF of the given numbers is 3 x 3 x 89 = 801

Greatest Common Factor of 801,8010 By Matching Biggest Common Factor Method

Greatest Common Factor of 801,8010 By Matching Biggest Common Factor Method

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 8010

List of positive integer factors of 8010 that divides 8010 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,89,90,178,267,445,534,801,890,1335,1602,2670,4005,8010

Greatest Common Factor

We found the factors 801,8010 . The biggest common factor number is the GCF number.
So the greatest common factor 801,8010 is 801.


Lets's calculate LCM of 660,517

11 660, 517
60, 47

∴ So the LCM of the given numbers is 11 x 60 x 47 = 31020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 801/31020

Therefore, the GCF of Fractions 801/660,8010/517 is 801/31020

Least Common Multiple of 660,517 with GCF Formula

Least Common Multiple of 660,517 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 660,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,517) = 11

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

GCF(660,517) x common factors =11 x 1 = 11

LCM(660,517) = ( 660 × 517 ) / 11

LCM(660,517) = 341220 / 11

LCM(660,517) = 31020


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 801/660, 8010/517

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 801/660, 8010/517?

Answer: GCF of Numerators as per given numbers 801/660, 8010/517 is

GCF of Numerators i.e. for 801,8010 is 801

LCM of denominators i.e. for 660,517 is 31020.

Thus, GCF of Fractions is 801/31020.Finally, GCF of Fractions for 801/660, 8010/517 is 801/31020.