Greatest Common Factor of 7945/343, 2756/7071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7945/343, 2756/7071

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 7945/343,2756/7071

Given fractions are 7945/343,2756/7071

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 7945,2756

Greatest Common Factor of Numerators i.e. GCF of 7945,2756 is 1 .

LCM of Denominators means LCM of 343,7071 as per the given fractions.

LCM of 343,7071 is 2425353 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7945,2756

GCF of Fractions 7945/343,2756/7071 is 1/2425353

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

Greatest Common Factor of 7945,2756 By Matching Biggest Common Factor Method

Greatest Common Factor of 7945,2756 By Matching Biggest Common Factor Method

Factors of 7945

List of positive integer factors of 7945 that divides 7945 without a remainder.

1,5,7,35,227,1135,1589,7945

Factors of 2756

List of positive integer factors of 2756 that divides 2756 without a remainder.

1,2,4,13,26,52,53,106,212,689,1378,2756

Greatest Common Factor

We found the factors 7945,2756 . The biggest common factor number is the GCF number.
So the greatest common factor 7945,2756 is 1.

Lets's calculate LCM of 343,7071

Given numbers has no common factors except 1. So, there LCM is their product i.e 2425353

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2425353

Therefore, the GCF of Fractions 7945/343,2756/7071 is 1/2425353

Least Common Multiple of 343,7071 with GCF Formula

Least Common Multiple of 343,7071 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 343,7071 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,7071) = 1

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

GCF(343,7071) x common factors =1 x 1 = 1

LCM(343,7071) = ( 343 × 7071 ) / 1

LCM(343,7071) = 2425353 / 1

LCM(343,7071) = 2425353


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 7945/343, 2756/7071

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 7945/343, 2756/7071?

Answer: GCF of Numerators as per given numbers 7945/343, 2756/7071 is

GCF of Numerators i.e. for 7945,2756 is 1

LCM of denominators i.e. for 343,7071 is 2425353.

Thus, GCF of Fractions is 1/2425353.Finally, GCF of Fractions for 7945/343, 2756/7071 is 1/2425353.