Greatest Common Factor of 6995/31, 7039/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6995/31, 7039/671

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 6995/31,7039/671

Given fractions are 6995/31,7039/671

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 6995,7039

Greatest Common Factor of Numerators i.e. GCF of 6995,7039 is 1 .

LCM of Denominators means LCM of 31,671 as per the given fractions.

LCM of 31,671 is 20801 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6995,7039

GCF of Fractions 6995/31,7039/671 is 1/20801

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

Greatest Common Factor of 6995,7039 By Matching Biggest Common Factor Method

Greatest Common Factor of 6995,7039 By Matching Biggest Common Factor Method

Factors of 6995

List of positive integer factors of 6995 that divides 6995 without a remainder.

1,5,1399,6995

Factors of 7039

List of positive integer factors of 7039 that divides 7039 without a remainder.

1,7039

Greatest Common Factor

We found the factors 6995,7039 . The biggest common factor number is the GCF number.
So the greatest common factor 6995,7039 is 1.

Lets's calculate LCM of 31,671

Given numbers has no common factors except 1. So, there LCM is their product i.e 20801

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20801

Therefore, the GCF of Fractions 6995/31,7039/671 is 1/20801

Least Common Multiple of 31,671 with GCF Formula

Least Common Multiple of 31,671 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 31,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,671) = 1

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

GCF(31,671) x common factors =1 x 1 = 1

LCM(31,671) = ( 31 × 671 ) / 1

LCM(31,671) = 20801 / 1

LCM(31,671) = 20801


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 6995/31, 7039/671

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 6995/31, 7039/671?

Answer: GCF of Numerators as per given numbers 6995/31, 7039/671 is

GCF of Numerators i.e. for 6995,7039 is 1

LCM of denominators i.e. for 31,671 is 20801.

Thus, GCF of Fractions is 1/20801.Finally, GCF of Fractions for 6995/31, 7039/671 is 1/20801.