Greatest Common Factor of 226/33, 7704/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 226/33, 7704/539

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 226/33,7704/539

Given fractions are 226/33,7704/539

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 226,7704

Greatest Common Factor of Numerators i.e. GCF of 226,7704 is 2 .

LCM of Denominators means LCM of 33,539 as per the given fractions.

LCM of 33,539 is 1617 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 226,7704

GCF of Fractions 226/33,7704/539 is 2/1617

2 226, 7704
113, 3852

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 226,7704 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,7704 By Matching Biggest Common Factor Method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 7704

List of positive integer factors of 7704 that divides 7704 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,107,214,321,428,642,856,963,1284,1926,2568,3852,7704

Greatest Common Factor

We found the factors 226,7704 . The biggest common factor number is the GCF number.
So the greatest common factor 226,7704 is 2.

Lets's calculate LCM of 33,539

11 33, 539
3, 49

∴ So the LCM of the given numbers is 11 x 3 x 49 = 1617

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1617

Therefore, the GCF of Fractions 226/33,7704/539 is 2/1617

Least Common Multiple of 33,539 with GCF Formula

Least Common Multiple of 33,539 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 33,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,539) = 11

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

GCF(33,539) x common factors =11 x 1 = 11

LCM(33,539) = ( 33 × 539 ) / 11

LCM(33,539) = 17787 / 11

LCM(33,539) = 1617


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 226/33, 7704/539

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 226/33, 7704/539?

Answer: GCF of Numerators as per given numbers 226/33, 7704/539 is

GCF of Numerators i.e. for 226,7704 is 2

LCM of denominators i.e. for 33,539 is 1617.

Thus, GCF of Fractions is 2/1617.Finally, GCF of Fractions for 226/33, 7704/539 is 2/1617.