Greatest Common Factor of 716/37, 968/41, 963/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 716/37, 968/41, 963/192

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 716/37,968/41,963/192

Given fractions are 716/37,968/41,963/192

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 716,968,963

Greatest Common Factor of Numerators i.e. GCF of 716,968,963 is 1 .

LCM of Denominators means LCM of 37,41,192 as per the given fractions.

LCM of 37,41,192 is 291264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 716,968,963

GCF of Fractions 716/37,968/41,963/192 is 1/291264

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

Greatest Common Factor of 716,968,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,968,963 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 716,968,963 . The biggest common factor number is the GCF number.
So the greatest common factor 716,968,963 is 1.

Lets's calculate LCM of 37,41,192

Given numbers has no common factors except 1. So, there LCM is their product i.e 291264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291264

Therefore, the GCF of Fractions 716/37,968/41,963/192 is 1/291264

Least Common Multiple of 37,41,192 with GCF Formula

Least Common Multiple of 37,41,192 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 37,41,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,41,192) = 1

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

GCF(37,41,192) x common factors =1 x 1 = 1

LCM(37,41,192) = ( 37 × 41 × 192 ) / 1

LCM(37,41,192) = 291264 / 1

LCM(37,41,192) = 291264


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 716/37, 968/41, 963/192

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 716/37, 968/41, 963/192?

Answer: GCF of Numerators as per given numbers 716/37, 968/41, 963/192 is

GCF of Numerators i.e. for 716,968,963 is 1

LCM of denominators i.e. for 37,41,192 is 291264.

Thus, GCF of Fractions is 1/291264.Finally, GCF of Fractions for 716/37, 968/41, 963/192 is 1/291264.