Greatest Common Factor of 1968/96, 7476/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1968/96, 7476/781

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 1968/96,7476/781

Given fractions are 1968/96,7476/781

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 1968,7476

Greatest Common Factor of Numerators i.e. GCF of 1968,7476 is 12 .

LCM of Denominators means LCM of 96,781 as per the given fractions.

LCM of 96,781 is 74976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1968,7476

GCF of Fractions 1968/96,7476/781 is 12/74976

2 1968, 7476
2 984, 3738
3 492, 1869
164, 623

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 1968,7476 By Matching Biggest Common Factor Method

Greatest Common Factor of 1968,7476 By Matching Biggest Common Factor Method

Factors of 1968

List of positive integer factors of 1968 that divides 1968 without a remainder.

1,2,3,4,6,8,12,16,24,41,48,82,123,164,246,328,492,656,984,1968

Factors of 7476

List of positive integer factors of 7476 that divides 7476 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,89,178,267,356,534,623,1068,1246,1869,2492,3738,7476

Greatest Common Factor

We found the factors 1968,7476 . The biggest common factor number is the GCF number.
So the greatest common factor 1968,7476 is 12.

Lets's calculate LCM of 96,781

Given numbers has no common factors except 1. So, there LCM is their product i.e 74976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/74976

Therefore, the GCF of Fractions 1968/96,7476/781 is 12/74976

Least Common Multiple of 96,781 with GCF Formula

Least Common Multiple of 96,781 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 96,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,781) = 1

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

GCF(96,781) x common factors =1 x 1 = 1

LCM(96,781) = ( 96 × 781 ) / 1

LCM(96,781) = 74976 / 1

LCM(96,781) = 74976


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 1968/96, 7476/781

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 1968/96, 7476/781?

Answer: GCF of Numerators as per given numbers 1968/96, 7476/781 is

GCF of Numerators i.e. for 1968,7476 is 12

LCM of denominators i.e. for 96,781 is 74976.

Thus, GCF of Fractions is 12/74976.Finally, GCF of Fractions for 1968/96, 7476/781 is 12/74976.