Greatest Common Factor of 6391/222, 5754/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6391/222, 5754/318

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 6391/222,5754/318

Given fractions are 6391/222,5754/318

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 6391,5754

Greatest Common Factor of Numerators i.e. GCF of 6391,5754 is 7 .

LCM of Denominators means LCM of 222,318 as per the given fractions.

LCM of 222,318 is 11766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6391,5754

GCF of Fractions 6391/222,5754/318 is 7/11766

7 6391, 5754
913, 822

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 6391,5754 By Matching Biggest Common Factor Method

Greatest Common Factor of 6391,5754 By Matching Biggest Common Factor Method

Factors of 6391

List of positive integer factors of 6391 that divides 6391 without a remainder.

1,7,11,77,83,581,913,6391

Factors of 5754

List of positive integer factors of 5754 that divides 5754 without a remainder.

1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754

Greatest Common Factor

We found the factors 6391,5754 . The biggest common factor number is the GCF number.
So the greatest common factor 6391,5754 is 7.

Lets's calculate LCM of 222,318

2 222, 318
3 111, 159
37, 53

∴ So the LCM of the given numbers is 2 x 3 x 37 x 53 = 11766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/11766

Therefore, the GCF of Fractions 6391/222,5754/318 is 7/11766

Least Common Multiple of 222,318 with GCF Formula

Least Common Multiple of 222,318 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 222,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,318) = 6

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

GCF(222,318) x common factors =6 x 1 = 6

LCM(222,318) = ( 222 × 318 ) / 6

LCM(222,318) = 70596 / 6

LCM(222,318) = 11766


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 6391/222, 5754/318

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 6391/222, 5754/318?

Answer: GCF of Numerators as per given numbers 6391/222, 5754/318 is

GCF of Numerators i.e. for 6391,5754 is 7

LCM of denominators i.e. for 222,318 is 11766.

Thus, GCF of Fractions is 7/11766.Finally, GCF of Fractions for 6391/222, 5754/318 is 7/11766.