Greatest Common Factor of 8287/346, 6427/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8287/346, 6427/972

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 8287/346,6427/972

Given fractions are 8287/346,6427/972

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 8287,6427

Greatest Common Factor of Numerators i.e. GCF of 8287,6427 is 1 .

LCM of Denominators means LCM of 346,972 as per the given fractions.

LCM of 346,972 is 168156 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8287,6427

GCF of Fractions 8287/346,6427/972 is 1/168156

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

Greatest Common Factor of 8287,6427 By Matching Biggest Common Factor Method

Greatest Common Factor of 8287,6427 By Matching Biggest Common Factor Method

Factors of 8287

List of positive integer factors of 8287 that divides 8287 without a remainder.

1,8287

Factors of 6427

List of positive integer factors of 6427 that divides 6427 without a remainder.

1,6427

Greatest Common Factor

We found the factors 8287,6427 . The biggest common factor number is the GCF number.
So the greatest common factor 8287,6427 is 1.

Lets's calculate LCM of 346,972

2 346, 972
173, 486

∴ So the LCM of the given numbers is 2 x 173 x 486 = 168156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168156

Therefore, the GCF of Fractions 8287/346,6427/972 is 1/168156

Least Common Multiple of 346,972 with GCF Formula

Least Common Multiple of 346,972 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 346,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,972) = 2

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

GCF(346,972) x common factors =2 x 1 = 2

LCM(346,972) = ( 346 × 972 ) / 2

LCM(346,972) = 336312 / 2

LCM(346,972) = 168156


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 8287/346, 6427/972

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 8287/346, 6427/972?

Answer: GCF of Numerators as per given numbers 8287/346, 6427/972 is

GCF of Numerators i.e. for 8287,6427 is 1

LCM of denominators i.e. for 346,972 is 168156.

Thus, GCF of Fractions is 1/168156.Finally, GCF of Fractions for 8287/346, 6427/972 is 1/168156.