Greatest Common Factor of 7027/95, 6271/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7027/95, 6271/289

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 7027/95,6271/289

Given fractions are 7027/95,6271/289

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 7027,6271

Greatest Common Factor of Numerators i.e. GCF of 7027,6271 is 1 .

LCM of Denominators means LCM of 95,289 as per the given fractions.

LCM of 95,289 is 27455 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7027,6271

GCF of Fractions 7027/95,6271/289 is 1/27455

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

Greatest Common Factor of 7027,6271 By Matching Biggest Common Factor Method

Greatest Common Factor of 7027,6271 By Matching Biggest Common Factor Method

Factors of 7027

List of positive integer factors of 7027 that divides 7027 without a remainder.

1,7027

Factors of 6271

List of positive integer factors of 6271 that divides 6271 without a remainder.

1,6271

Greatest Common Factor

We found the factors 7027,6271 . The biggest common factor number is the GCF number.
So the greatest common factor 7027,6271 is 1.

Lets's calculate LCM of 95,289

Given numbers has no common factors except 1. So, there LCM is their product i.e 27455

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27455

Therefore, the GCF of Fractions 7027/95,6271/289 is 1/27455

Least Common Multiple of 95,289 with GCF Formula

Least Common Multiple of 95,289 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 95,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,289) = 1

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

GCF(95,289) x common factors =1 x 1 = 1

LCM(95,289) = ( 95 × 289 ) / 1

LCM(95,289) = 27455 / 1

LCM(95,289) = 27455


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 7027/95, 6271/289

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 7027/95, 6271/289?

Answer: GCF of Numerators as per given numbers 7027/95, 6271/289 is

GCF of Numerators i.e. for 7027,6271 is 1

LCM of denominators i.e. for 95,289 is 27455.

Thus, GCF of Fractions is 1/27455.Finally, GCF of Fractions for 7027/95, 6271/289 is 1/27455.