Greatest Common Factor of 5151/226, 2704/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5151/226, 2704/779

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 5151/226,2704/779

Given fractions are 5151/226,2704/779

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 5151,2704

Greatest Common Factor of Numerators i.e. GCF of 5151,2704 is 1 .

LCM of Denominators means LCM of 226,779 as per the given fractions.

LCM of 226,779 is 176054 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5151,2704

GCF of Fractions 5151/226,2704/779 is 1/176054

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

Greatest Common Factor of 5151,2704 By Matching Biggest Common Factor Method

Greatest Common Factor of 5151,2704 By Matching Biggest Common Factor Method

Factors of 5151

List of positive integer factors of 5151 that divides 5151 without a remainder.

1,3,17,51,101,303,1717,5151

Factors of 2704

List of positive integer factors of 2704 that divides 2704 without a remainder.

1,2,4,8,13,16,26,52,104,169,208,338,676,1352,2704

Greatest Common Factor

We found the factors 5151,2704 . The biggest common factor number is the GCF number.
So the greatest common factor 5151,2704 is 1.

Lets's calculate LCM of 226,779

Given numbers has no common factors except 1. So, there LCM is their product i.e 176054

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176054

Therefore, the GCF of Fractions 5151/226,2704/779 is 1/176054

Least Common Multiple of 226,779 with GCF Formula

Least Common Multiple of 226,779 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 226,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,779) = 1

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

GCF(226,779) x common factors =1 x 1 = 1

LCM(226,779) = ( 226 × 779 ) / 1

LCM(226,779) = 176054 / 1

LCM(226,779) = 176054


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 5151/226, 2704/779

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 5151/226, 2704/779?

Answer: GCF of Numerators as per given numbers 5151/226, 2704/779 is

GCF of Numerators i.e. for 5151,2704 is 1

LCM of denominators i.e. for 226,779 is 176054.

Thus, GCF of Fractions is 1/176054.Finally, GCF of Fractions for 5151/226, 2704/779 is 1/176054.