Greatest Common Factor of 9/54, 96/35, 32/586, 992/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/54, 96/35, 32/586, 992/842

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 9/54,96/35,32/586,992/842

Given fractions are 9/54,96/35,32/586,992/842

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 9,96,32,992

Greatest Common Factor of Numerators i.e. GCF of 9,96,32,992 is 1 .

LCM of Denominators means LCM of 54,35,586,842 as per the given fractions.

LCM of 54,35,586,842 is 233137170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,96,32,992

GCF of Fractions 9/54,96/35,32/586,992/842 is 1/233137170

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

Greatest Common Factor of 9,96,32,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,96,32,992 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 9,96,32,992 . The biggest common factor number is the GCF number.
So the greatest common factor 9,96,32,992 is 1.

Lets's calculate LCM of 54,35,586,842

2 54, 35, 586, 842
27, 35, 293, 421

∴ So the LCM of the given numbers is 2 x 27 x 35 x 293 x 421 = 233137170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233137170

Therefore, the GCF of Fractions 9/54,96/35,32/586,992/842 is 1/233137170

Least Common Multiple of 54,35,586,842 with GCF Formula

Least Common Multiple of 54,35,586,842 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 54,35,586,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,35,586,842) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(54,35,586,842) x common factors =1 x 4 = 4

LCM(54,35,586,842) = ( 54 × 35 × 586 × 842 ) / 4

LCM(54,35,586,842) = 932548680 / 4

LCM(54,35,586,842) = 233137170


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 9/54, 96/35, 32/586, 992/842

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 9/54, 96/35, 32/586, 992/842?

Answer: GCF of Numerators as per given numbers 9/54, 96/35, 32/586, 992/842 is

GCF of Numerators i.e. for 9,96,32,992 is 1

LCM of denominators i.e. for 54,35,586,842 is 233137170.

Thus, GCF of Fractions is 1/233137170.Finally, GCF of Fractions for 9/54, 96/35, 32/586, 992/842 is 1/233137170.