Greatest Common Factor of 2226/109, 2244/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2226/109, 2244/764

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 2226/109,2244/764

Given fractions are 2226/109,2244/764

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 2226,2244

Greatest Common Factor of Numerators i.e. GCF of 2226,2244 is 6 .

LCM of Denominators means LCM of 109,764 as per the given fractions.

LCM of 109,764 is 83276 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2226,2244

GCF of Fractions 2226/109,2244/764 is 6/83276

2 2226, 2244
3 1113, 1122
371, 374

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 2226,2244 By Matching Biggest Common Factor Method

Greatest Common Factor of 2226,2244 By Matching Biggest Common Factor Method

Factors of 2226

List of positive integer factors of 2226 that divides 2226 without a remainder.

1,2,3,6,7,14,21,42,53,106,159,318,371,742,1113,2226

Factors of 2244

List of positive integer factors of 2244 that divides 2244 without a remainder.

1,2,3,4,6,11,12,17,22,33,34,44,51,66,68,102,132,187,204,374,561,748,1122,2244

Greatest Common Factor

We found the factors 2226,2244 . The biggest common factor number is the GCF number.
So the greatest common factor 2226,2244 is 6.

Lets's calculate LCM of 109,764

Given numbers has no common factors except 1. So, there LCM is their product i.e 83276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/83276

Therefore, the GCF of Fractions 2226/109,2244/764 is 6/83276

Least Common Multiple of 109,764 with GCF Formula

Least Common Multiple of 109,764 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 109,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,764) = 1

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

GCF(109,764) x common factors =1 x 1 = 1

LCM(109,764) = ( 109 × 764 ) / 1

LCM(109,764) = 83276 / 1

LCM(109,764) = 83276


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 2226/109, 2244/764

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 2226/109, 2244/764?

Answer: GCF of Numerators as per given numbers 2226/109, 2244/764 is

GCF of Numerators i.e. for 2226,2244 is 6

LCM of denominators i.e. for 109,764 is 83276.

Thus, GCF of Fractions is 6/83276.Finally, GCF of Fractions for 2226/109, 2244/764 is 6/83276.