Greatest Common Factor of 774/226, 6321/9291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 774/226, 6321/9291

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 774/226,6321/9291

Given fractions are 774/226,6321/9291

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 774,6321

Greatest Common Factor of Numerators i.e. GCF of 774,6321 is 129 .

LCM of Denominators means LCM of 226,9291 as per the given fractions.

LCM of 226,9291 is 2099766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 774,6321

GCF of Fractions 774/226,6321/9291 is 129/2099766

3 774, 6321
43 258, 2107
6, 49

∴ So the GCF of the given numbers is 3 x 43 = 129

Greatest Common Factor of 774,6321 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,6321 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 6321

List of positive integer factors of 6321 that divides 6321 without a remainder.

1,3,7,21,43,49,129,147,301,903,2107,6321

Greatest Common Factor

We found the factors 774,6321 . The biggest common factor number is the GCF number.
So the greatest common factor 774,6321 is 129.

Lets's calculate LCM of 226,9291

Given numbers has no common factors except 1. So, there LCM is their product i.e 2099766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 129/2099766

Therefore, the GCF of Fractions 774/226,6321/9291 is 129/2099766

Least Common Multiple of 226,9291 with GCF Formula

Least Common Multiple of 226,9291 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 226,9291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,9291) = 1

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

GCF(226,9291) x common factors =1 x 1 = 1

LCM(226,9291) = ( 226 × 9291 ) / 1

LCM(226,9291) = 2099766 / 1

LCM(226,9291) = 2099766


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 774/226, 6321/9291

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 774/226, 6321/9291?

Answer: GCF of Numerators as per given numbers 774/226, 6321/9291 is

GCF of Numerators i.e. for 774,6321 is 129

LCM of denominators i.e. for 226,9291 is 2099766.

Thus, GCF of Fractions is 129/2099766.Finally, GCF of Fractions for 774/226, 6321/9291 is 129/2099766.