Greatest Common Factor of 1367/26, 9762/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1367/26, 9762/886

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 1367/26,9762/886

Given fractions are 1367/26,9762/886

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 1367,9762

Greatest Common Factor of Numerators i.e. GCF of 1367,9762 is 1 .

LCM of Denominators means LCM of 26,886 as per the given fractions.

LCM of 26,886 is 11518 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1367,9762

GCF of Fractions 1367/26,9762/886 is 1/11518

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

Greatest Common Factor of 1367,9762 By Matching Biggest Common Factor Method

Greatest Common Factor of 1367,9762 By Matching Biggest Common Factor Method

Factors of 1367

List of positive integer factors of 1367 that divides 1367 without a remainder.

1,1367

Factors of 9762

List of positive integer factors of 9762 that divides 9762 without a remainder.

1,2,3,6,1627,3254,4881,9762

Greatest Common Factor

We found the factors 1367,9762 . The biggest common factor number is the GCF number.
So the greatest common factor 1367,9762 is 1.

Lets's calculate LCM of 26,886

2 26, 886
13, 443

∴ So the LCM of the given numbers is 2 x 13 x 443 = 11518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11518

Therefore, the GCF of Fractions 1367/26,9762/886 is 1/11518

Least Common Multiple of 26,886 with GCF Formula

Least Common Multiple of 26,886 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 26,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,886) = 2

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

GCF(26,886) x common factors =2 x 1 = 2

LCM(26,886) = ( 26 × 886 ) / 2

LCM(26,886) = 23036 / 2

LCM(26,886) = 11518


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 1367/26, 9762/886

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 1367/26, 9762/886?

Answer: GCF of Numerators as per given numbers 1367/26, 9762/886 is

GCF of Numerators i.e. for 1367,9762 is 1

LCM of denominators i.e. for 26,886 is 11518.

Thus, GCF of Fractions is 1/11518.Finally, GCF of Fractions for 1367/26, 9762/886 is 1/11518.