Greatest Common Factor of 96/932, 1128/9688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/932, 1128/9688

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 96/932,1128/9688

Given fractions are 96/932,1128/9688

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 96,1128

Greatest Common Factor of Numerators i.e. GCF of 96,1128 is 24 .

LCM of Denominators means LCM of 932,9688 as per the given fractions.

LCM of 932,9688 is 2257304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,1128

GCF of Fractions 96/932,1128/9688 is 24/2257304

2 96, 1128
2 48, 564
2 24, 282
3 12, 141
4, 47

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 96,1128 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,1128 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 1128

List of positive integer factors of 1128 that divides 1128 without a remainder.

1,2,3,4,6,8,12,24,47,94,141,188,282,376,564,1128

Greatest Common Factor

We found the factors 96,1128 . The biggest common factor number is the GCF number.
So the greatest common factor 96,1128 is 24.

Lets's calculate LCM of 932,9688

2 932, 9688
2 466, 4844
233, 2422

∴ So the LCM of the given numbers is 2 x 2 x 233 x 2422 = 2257304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/2257304

Therefore, the GCF of Fractions 96/932,1128/9688 is 24/2257304

Least Common Multiple of 932,9688 with GCF Formula

Least Common Multiple of 932,9688 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 932,9688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,9688) = 4

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

GCF(932,9688) x common factors =4 x 1 = 4

LCM(932,9688) = ( 932 × 9688 ) / 4

LCM(932,9688) = 9029216 / 4

LCM(932,9688) = 2257304


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 96/932, 1128/9688

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 96/932, 1128/9688?

Answer: GCF of Numerators as per given numbers 96/932, 1128/9688 is

GCF of Numerators i.e. for 96,1128 is 24

LCM of denominators i.e. for 932,9688 is 2257304.

Thus, GCF of Fractions is 24/2257304.Finally, GCF of Fractions for 96/932, 1128/9688 is 24/2257304.