Greatest Common Factor of 6711/44, 7451/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6711/44, 7451/676

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 6711/44,7451/676

Given fractions are 6711/44,7451/676

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 6711,7451

Greatest Common Factor of Numerators i.e. GCF of 6711,7451 is 1 .

LCM of Denominators means LCM of 44,676 as per the given fractions.

LCM of 44,676 is 7436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6711,7451

GCF of Fractions 6711/44,7451/676 is 1/7436

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

Greatest Common Factor of 6711,7451 By Matching Biggest Common Factor Method

Greatest Common Factor of 6711,7451 By Matching Biggest Common Factor Method

Factors of 6711

List of positive integer factors of 6711 that divides 6711 without a remainder.

1,3,2237,6711

Factors of 7451

List of positive integer factors of 7451 that divides 7451 without a remainder.

1,7451

Greatest Common Factor

We found the factors 6711,7451 . The biggest common factor number is the GCF number.
So the greatest common factor 6711,7451 is 1.

Lets's calculate LCM of 44,676

2 44, 676
2 22, 338
11, 169

∴ So the LCM of the given numbers is 2 x 2 x 11 x 169 = 7436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7436

Therefore, the GCF of Fractions 6711/44,7451/676 is 1/7436

Least Common Multiple of 44,676 with GCF Formula

Least Common Multiple of 44,676 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 44,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,676) = 4

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

GCF(44,676) x common factors =4 x 1 = 4

LCM(44,676) = ( 44 × 676 ) / 4

LCM(44,676) = 29744 / 4

LCM(44,676) = 7436


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 6711/44, 7451/676

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 6711/44, 7451/676?

Answer: GCF of Numerators as per given numbers 6711/44, 7451/676 is

GCF of Numerators i.e. for 6711,7451 is 1

LCM of denominators i.e. for 44,676 is 7436.

Thus, GCF of Fractions is 1/7436.Finally, GCF of Fractions for 6711/44, 7451/676 is 1/7436.