Greatest Common Factor of 4142/755, 7971/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4142/755, 7971/996

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 4142/755,7971/996

Given fractions are 4142/755,7971/996

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 4142,7971

Greatest Common Factor of Numerators i.e. GCF of 4142,7971 is 1 .

LCM of Denominators means LCM of 755,996 as per the given fractions.

LCM of 755,996 is 751980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4142,7971

GCF of Fractions 4142/755,7971/996 is 1/751980

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

Greatest Common Factor of 4142,7971 By Matching Biggest Common Factor Method

Greatest Common Factor of 4142,7971 By Matching Biggest Common Factor Method

Factors of 4142

List of positive integer factors of 4142 that divides 4142 without a remainder.

1,2,19,38,109,218,2071,4142

Factors of 7971

List of positive integer factors of 7971 that divides 7971 without a remainder.

1,3,2657,7971

Greatest Common Factor

We found the factors 4142,7971 . The biggest common factor number is the GCF number.
So the greatest common factor 4142,7971 is 1.

Lets's calculate LCM of 755,996

Given numbers has no common factors except 1. So, there LCM is their product i.e 751980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/751980

Therefore, the GCF of Fractions 4142/755,7971/996 is 1/751980

Least Common Multiple of 755,996 with GCF Formula

Least Common Multiple of 755,996 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 755,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,996) = 1

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

GCF(755,996) x common factors =1 x 1 = 1

LCM(755,996) = ( 755 × 996 ) / 1

LCM(755,996) = 751980 / 1

LCM(755,996) = 751980


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 4142/755, 7971/996

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 4142/755, 7971/996?

Answer: GCF of Numerators as per given numbers 4142/755, 7971/996 is

GCF of Numerators i.e. for 4142,7971 is 1

LCM of denominators i.e. for 755,996 is 751980.

Thus, GCF of Fractions is 1/751980.Finally, GCF of Fractions for 4142/755, 7971/996 is 1/751980.