Greatest Common Factor of 6226/138, 5511/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6226/138, 5511/779

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 6226/138,5511/779

Given fractions are 6226/138,5511/779

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 6226,5511

Greatest Common Factor of Numerators i.e. GCF of 6226,5511 is 11 .

LCM of Denominators means LCM of 138,779 as per the given fractions.

LCM of 138,779 is 107502 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6226,5511

GCF of Fractions 6226/138,5511/779 is 11/107502

11 6226, 5511
566, 501

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 6226,5511 By Matching Biggest Common Factor Method

Greatest Common Factor of 6226,5511 By Matching Biggest Common Factor Method

Factors of 6226

List of positive integer factors of 6226 that divides 6226 without a remainder.

1,2,11,22,283,566,3113,6226

Factors of 5511

List of positive integer factors of 5511 that divides 5511 without a remainder.

1,3,11,33,167,501,1837,5511

Greatest Common Factor

We found the factors 6226,5511 . The biggest common factor number is the GCF number.
So the greatest common factor 6226,5511 is 11.

Lets's calculate LCM of 138,779

Given numbers has no common factors except 1. So, there LCM is their product i.e 107502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/107502

Therefore, the GCF of Fractions 6226/138,5511/779 is 11/107502

Least Common Multiple of 138,779 with GCF Formula

Least Common Multiple of 138,779 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 138,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,779) = 1

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

GCF(138,779) x common factors =1 x 1 = 1

LCM(138,779) = ( 138 × 779 ) / 1

LCM(138,779) = 107502 / 1

LCM(138,779) = 107502


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 6226/138, 5511/779

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 6226/138, 5511/779?

Answer: GCF of Numerators as per given numbers 6226/138, 5511/779 is

GCF of Numerators i.e. for 6226,5511 is 11

LCM of denominators i.e. for 138,779 is 107502.

Thus, GCF of Fractions is 11/107502.Finally, GCF of Fractions for 6226/138, 5511/779 is 11/107502.