Greatest Common Factor of 9020/636, 5991/7506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9020/636, 5991/7506

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 9020/636,5991/7506

Given fractions are 9020/636,5991/7506

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 9020,5991

Greatest Common Factor of Numerators i.e. GCF of 9020,5991 is 1 .

LCM of Denominators means LCM of 636,7506 as per the given fractions.

LCM of 636,7506 is 795636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9020,5991

GCF of Fractions 9020/636,5991/7506 is 1/795636

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

Greatest Common Factor of 9020,5991 By Matching Biggest Common Factor Method

Greatest Common Factor of 9020,5991 By Matching Biggest Common Factor Method

Factors of 9020

List of positive integer factors of 9020 that divides 9020 without a remainder.

1,2,4,5,10,11,20,22,41,44,55,82,110,164,205,220,410,451,820,902,1804,2255,4510,9020

Factors of 5991

List of positive integer factors of 5991 that divides 5991 without a remainder.

1,3,1997,5991

Greatest Common Factor

We found the factors 9020,5991 . The biggest common factor number is the GCF number.
So the greatest common factor 9020,5991 is 1.

Lets's calculate LCM of 636,7506

2 636, 7506
3 318, 3753
106, 1251

∴ So the LCM of the given numbers is 2 x 3 x 106 x 1251 = 795636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/795636

Therefore, the GCF of Fractions 9020/636,5991/7506 is 1/795636

Least Common Multiple of 636,7506 with GCF Formula

Least Common Multiple of 636,7506 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 636,7506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,7506) = 6

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

GCF(636,7506) x common factors =6 x 1 = 6

LCM(636,7506) = ( 636 × 7506 ) / 6

LCM(636,7506) = 4773816 / 6

LCM(636,7506) = 795636


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 9020/636, 5991/7506

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 9020/636, 5991/7506?

Answer: GCF of Numerators as per given numbers 9020/636, 5991/7506 is

GCF of Numerators i.e. for 9020,5991 is 1

LCM of denominators i.e. for 636,7506 is 795636.

Thus, GCF of Fractions is 1/795636.Finally, GCF of Fractions for 9020/636, 5991/7506 is 1/795636.