Greatest Common Factor of 96/43, 20/86, 81/42, 12/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/43, 20/86, 81/42, 12/975

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 96/43,20/86,81/42,12/975

Given fractions are 96/43,20/86,81/42,12/975

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 96,20,81,12

Greatest Common Factor of Numerators i.e. GCF of 96,20,81,12 is 1 .

LCM of Denominators means LCM of 43,86,42,975 as per the given fractions.

LCM of 43,86,42,975 is 586950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,20,81,12

GCF of Fractions 96/43,20/86,81/42,12/975 is 1/586950

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

Greatest Common Factor of 96,20,81,12 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,20,81,12 By Matching Biggest Common Factor Method

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 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Greatest Common Factor

We found the factors 96,20,81,12 . The biggest common factor number is the GCF number.
So the greatest common factor 96,20,81,12 is 1.

Lets's calculate LCM of 43,86,42,975

2 43, 86, 42, 975
3 43, 43, 21, 975
43 43, 43, 7, 325
1, 1, 7, 325

∴ So the LCM of the given numbers is 2 x 3 x 43 x 1 x 1 x 7 x 325 = 586950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/586950

Therefore, the GCF of Fractions 96/43,20/86,81/42,12/975 is 1/586950

Least Common Multiple of 43,86,42,975 with GCF Formula

Least Common Multiple of 43,86,42,975 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 43,86,42,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,86,42,975) = 1

common factors(in case of two or more numbers have common factors) = 258

GCF(43,86,42,975) x common factors =1 x 258 = 258

LCM(43,86,42,975) = ( 43 × 86 × 42 × 975 ) / 258

LCM(43,86,42,975) = 151433100 / 258

LCM(43,86,42,975) = 586950


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 96/43, 20/86, 81/42, 12/975

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 96/43, 20/86, 81/42, 12/975?

Answer: GCF of Numerators as per given numbers 96/43, 20/86, 81/42, 12/975 is

GCF of Numerators i.e. for 96,20,81,12 is 1

LCM of denominators i.e. for 43,86,42,975 is 586950.

Thus, GCF of Fractions is 1/586950.Finally, GCF of Fractions for 96/43, 20/86, 81/42, 12/975 is 1/586950.