Greatest Common Factor of 90/54, 52/77, 680/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/54, 52/77, 680/631

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 90/54,52/77,680/631

Given fractions are 90/54,52/77,680/631

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 90,52,680

Greatest Common Factor of Numerators i.e. GCF of 90,52,680 is 2 .

LCM of Denominators means LCM of 54,77,631 as per the given fractions.

LCM of 54,77,631 is 2623698 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,52,680

GCF of Fractions 90/54,52/77,680/631 is 2/2623698

2 90, 52, 680
45, 26, 340

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 90,52,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,52,680 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 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 90,52,680 . The biggest common factor number is the GCF number.
So the greatest common factor 90,52,680 is 2.

Lets's calculate LCM of 54,77,631

Given numbers has no common factors except 1. So, there LCM is their product i.e 2623698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2623698

Therefore, the GCF of Fractions 90/54,52/77,680/631 is 2/2623698

Least Common Multiple of 54,77,631 with GCF Formula

Least Common Multiple of 54,77,631 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 54,77,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,77,631) = 1

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

GCF(54,77,631) x common factors =1 x 1 = 1

LCM(54,77,631) = ( 54 × 77 × 631 ) / 1

LCM(54,77,631) = 2623698 / 1

LCM(54,77,631) = 2623698


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 90/54, 52/77, 680/631

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 90/54, 52/77, 680/631?

Answer: GCF of Numerators as per given numbers 90/54, 52/77, 680/631 is

GCF of Numerators i.e. for 90,52,680 is 2

LCM of denominators i.e. for 54,77,631 is 2623698.

Thus, GCF of Fractions is 2/2623698.Finally, GCF of Fractions for 90/54, 52/77, 680/631 is 2/2623698.