Greatest Common Factor of 7979/715, 8963/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7979/715, 8963/414

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 7979/715,8963/414

Given fractions are 7979/715,8963/414

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 7979,8963

Greatest Common Factor of Numerators i.e. GCF of 7979,8963 is 1 .

LCM of Denominators means LCM of 715,414 as per the given fractions.

LCM of 715,414 is 296010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7979,8963

GCF of Fractions 7979/715,8963/414 is 1/296010

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

Greatest Common Factor of 7979,8963 By Matching Biggest Common Factor Method

Greatest Common Factor of 7979,8963 By Matching Biggest Common Factor Method

Factors of 7979

List of positive integer factors of 7979 that divides 7979 without a remainder.

1,79,101,7979

Factors of 8963

List of positive integer factors of 8963 that divides 8963 without a remainder.

1,8963

Greatest Common Factor

We found the factors 7979,8963 . The biggest common factor number is the GCF number.
So the greatest common factor 7979,8963 is 1.

Lets's calculate LCM of 715,414

Given numbers has no common factors except 1. So, there LCM is their product i.e 296010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296010

Therefore, the GCF of Fractions 7979/715,8963/414 is 1/296010

Least Common Multiple of 715,414 with GCF Formula

Least Common Multiple of 715,414 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 715,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,414) = 1

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

GCF(715,414) x common factors =1 x 1 = 1

LCM(715,414) = ( 715 × 414 ) / 1

LCM(715,414) = 296010 / 1

LCM(715,414) = 296010


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 7979/715, 8963/414

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 7979/715, 8963/414?

Answer: GCF of Numerators as per given numbers 7979/715, 8963/414 is

GCF of Numerators i.e. for 7979,8963 is 1

LCM of denominators i.e. for 715,414 is 296010.

Thus, GCF of Fractions is 1/296010.Finally, GCF of Fractions for 7979/715, 8963/414 is 1/296010.