Greatest Common Factor of 7071/968, 7889/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7071/968, 7889/346

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 7071/968,7889/346

Given fractions are 7071/968,7889/346

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 7071,7889

Greatest Common Factor of Numerators i.e. GCF of 7071,7889 is 1 .

LCM of Denominators means LCM of 968,346 as per the given fractions.

LCM of 968,346 is 167464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7071,7889

GCF of Fractions 7071/968,7889/346 is 1/167464

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

Greatest Common Factor of 7071,7889 By Matching Biggest Common Factor Method

Greatest Common Factor of 7071,7889 By Matching Biggest Common Factor Method

Factors of 7071

List of positive integer factors of 7071 that divides 7071 without a remainder.

1,3,2357,7071

Factors of 7889

List of positive integer factors of 7889 that divides 7889 without a remainder.

1,7,23,49,161,343,1127,7889

Greatest Common Factor

We found the factors 7071,7889 . The biggest common factor number is the GCF number.
So the greatest common factor 7071,7889 is 1.

Lets's calculate LCM of 968,346

2 968, 346
484, 173

∴ So the LCM of the given numbers is 2 x 484 x 173 = 167464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167464

Therefore, the GCF of Fractions 7071/968,7889/346 is 1/167464

Least Common Multiple of 968,346 with GCF Formula

Least Common Multiple of 968,346 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 968,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,346) = 2

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

GCF(968,346) x common factors =2 x 1 = 2

LCM(968,346) = ( 968 × 346 ) / 2

LCM(968,346) = 334928 / 2

LCM(968,346) = 167464


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 7071/968, 7889/346

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 7071/968, 7889/346?

Answer: GCF of Numerators as per given numbers 7071/968, 7889/346 is

GCF of Numerators i.e. for 7071,7889 is 1

LCM of denominators i.e. for 968,346 is 167464.

Thus, GCF of Fractions is 1/167464.Finally, GCF of Fractions for 7071/968, 7889/346 is 1/167464.