Greatest Common Factor of 90/360, 7797/4771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/360, 7797/4771

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 90/360,7797/4771

Given fractions are 90/360,7797/4771

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 90,7797

Greatest Common Factor of Numerators i.e. GCF of 90,7797 is 3 .

LCM of Denominators means LCM of 360,4771 as per the given fractions.

LCM of 360,4771 is 1717560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,7797

GCF of Fractions 90/360,7797/4771 is 3/1717560

3 90, 7797
30, 2599

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 90,7797 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,7797 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 7797

List of positive integer factors of 7797 that divides 7797 without a remainder.

1,3,23,69,113,339,2599,7797

Greatest Common Factor

We found the factors 90,7797 . The biggest common factor number is the GCF number.
So the greatest common factor 90,7797 is 3.

Lets's calculate LCM of 360,4771

Given numbers has no common factors except 1. So, there LCM is their product i.e 1717560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1717560

Therefore, the GCF of Fractions 90/360,7797/4771 is 3/1717560

Least Common Multiple of 360,4771 with GCF Formula

Least Common Multiple of 360,4771 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 360,4771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,4771) = 1

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

GCF(360,4771) x common factors =1 x 1 = 1

LCM(360,4771) = ( 360 × 4771 ) / 1

LCM(360,4771) = 1717560 / 1

LCM(360,4771) = 1717560


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 90/360, 7797/4771

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 90/360, 7797/4771?

Answer: GCF of Numerators as per given numbers 90/360, 7797/4771 is

GCF of Numerators i.e. for 90,7797 is 3

LCM of denominators i.e. for 360,4771 is 1717560.

Thus, GCF of Fractions is 3/1717560.Finally, GCF of Fractions for 90/360, 7797/4771 is 3/1717560.