Greatest Common Factor of 8968/431, 2119/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8968/431, 2119/414

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 8968/431,2119/414

Given fractions are 8968/431,2119/414

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 8968,2119

Greatest Common Factor of Numerators i.e. GCF of 8968,2119 is 1 .

LCM of Denominators means LCM of 431,414 as per the given fractions.

LCM of 431,414 is 178434 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8968,2119

GCF of Fractions 8968/431,2119/414 is 1/178434

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

Greatest Common Factor of 8968,2119 By Matching Biggest Common Factor Method

Greatest Common Factor of 8968,2119 By Matching Biggest Common Factor Method

Factors of 8968

List of positive integer factors of 8968 that divides 8968 without a remainder.

1,2,4,8,19,38,59,76,118,152,236,472,1121,2242,4484,8968

Factors of 2119

List of positive integer factors of 2119 that divides 2119 without a remainder.

1,13,163,2119

Greatest Common Factor

We found the factors 8968,2119 . The biggest common factor number is the GCF number.
So the greatest common factor 8968,2119 is 1.

Lets's calculate LCM of 431,414

Given numbers has no common factors except 1. So, there LCM is their product i.e 178434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178434

Therefore, the GCF of Fractions 8968/431,2119/414 is 1/178434

Least Common Multiple of 431,414 with GCF Formula

Least Common Multiple of 431,414 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 431,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,414) = 1

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

GCF(431,414) x common factors =1 x 1 = 1

LCM(431,414) = ( 431 × 414 ) / 1

LCM(431,414) = 178434 / 1

LCM(431,414) = 178434


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 8968/431, 2119/414

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 8968/431, 2119/414?

Answer: GCF of Numerators as per given numbers 8968/431, 2119/414 is

GCF of Numerators i.e. for 8968,2119 is 1

LCM of denominators i.e. for 431,414 is 178434.

Thus, GCF of Fractions is 1/178434.Finally, GCF of Fractions for 8968/431, 2119/414 is 1/178434.