Greatest Common Factor of 676/11, 494/6755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 676/11, 494/6755

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 676/11,494/6755

Given fractions are 676/11,494/6755

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 676,494

Greatest Common Factor of Numerators i.e. GCF of 676,494 is 26 .

LCM of Denominators means LCM of 11,6755 as per the given fractions.

LCM of 11,6755 is 74305 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 676,494

GCF of Fractions 676/11,494/6755 is 26/74305

2 676, 494
13 338, 247
26, 19

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 676,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,494 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 676,494 . The biggest common factor number is the GCF number.
So the greatest common factor 676,494 is 26.

Lets's calculate LCM of 11,6755

Given numbers has no common factors except 1. So, there LCM is their product i.e 74305

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/74305

Therefore, the GCF of Fractions 676/11,494/6755 is 26/74305

Least Common Multiple of 11,6755 with GCF Formula

Least Common Multiple of 11,6755 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 11,6755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,6755) = 1

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

GCF(11,6755) x common factors =1 x 1 = 1

LCM(11,6755) = ( 11 × 6755 ) / 1

LCM(11,6755) = 74305 / 1

LCM(11,6755) = 74305


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 676/11, 494/6755

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 676/11, 494/6755?

Answer: GCF of Numerators as per given numbers 676/11, 494/6755 is

GCF of Numerators i.e. for 676,494 is 26

LCM of denominators i.e. for 11,6755 is 74305.

Thus, GCF of Fractions is 26/74305.Finally, GCF of Fractions for 676/11, 494/6755 is 26/74305.