Greatest Common Factor of 90/83, 54/57, 52/78, 99/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/83, 54/57, 52/78, 99/168

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 90/83,54/57,52/78,99/168

Given fractions are 90/83,54/57,52/78,99/168

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 90,54,52,99

Greatest Common Factor of Numerators i.e. GCF of 90,54,52,99 is 1 .

LCM of Denominators means LCM of 83,57,78,168 as per the given fractions.

LCM of 83,57,78,168 is 3444168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,54,52,99

GCF of Fractions 90/83,54/57,52/78,99/168 is 1/3444168

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

Greatest Common Factor of 90,54,52,99 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,54,52,99 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 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 52

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

1,2,4,13,26,52

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Greatest Common Factor

We found the factors 90,54,52,99 . The biggest common factor number is the GCF number.
So the greatest common factor 90,54,52,99 is 1.

Lets's calculate LCM of 83,57,78,168

2 83, 57, 78, 168
3 83, 57, 39, 84
83, 19, 13, 28

∴ So the LCM of the given numbers is 2 x 3 x 83 x 19 x 13 x 28 = 3444168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3444168

Therefore, the GCF of Fractions 90/83,54/57,52/78,99/168 is 1/3444168

Least Common Multiple of 83,57,78,168 with GCF Formula

Least Common Multiple of 83,57,78,168 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 83,57,78,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,57,78,168) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(83,57,78,168) x common factors =1 x 18 = 18

LCM(83,57,78,168) = ( 83 × 57 × 78 × 168 ) / 18

LCM(83,57,78,168) = 61995024 / 18

LCM(83,57,78,168) = 3444168


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 90/83, 54/57, 52/78, 99/168

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 90/83, 54/57, 52/78, 99/168?

Answer: GCF of Numerators as per given numbers 90/83, 54/57, 52/78, 99/168 is

GCF of Numerators i.e. for 90,54,52,99 is 1

LCM of denominators i.e. for 83,57,78,168 is 3444168.

Thus, GCF of Fractions is 1/3444168.Finally, GCF of Fractions for 90/83, 54/57, 52/78, 99/168 is 1/3444168.