Greatest Common Factor of 11/279, 686/773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/279, 686/773

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 11/279,686/773

Given fractions are 11/279,686/773

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 11,686

Greatest Common Factor of Numerators i.e. GCF of 11,686 is 1 .

LCM of Denominators means LCM of 279,773 as per the given fractions.

LCM of 279,773 is 215667 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,686

GCF of Fractions 11/279,686/773 is 1/215667

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

Greatest Common Factor of 11,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,686 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 11,686 . The biggest common factor number is the GCF number.
So the greatest common factor 11,686 is 1.

Lets's calculate LCM of 279,773

Given numbers has no common factors except 1. So, there LCM is their product i.e 215667

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215667

Therefore, the GCF of Fractions 11/279,686/773 is 1/215667

Least Common Multiple of 279,773 with GCF Formula

Least Common Multiple of 279,773 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 279,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,773) = 1

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

GCF(279,773) x common factors =1 x 1 = 1

LCM(279,773) = ( 279 × 773 ) / 1

LCM(279,773) = 215667 / 1

LCM(279,773) = 215667


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 11/279, 686/773

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 11/279, 686/773?

Answer: GCF of Numerators as per given numbers 11/279, 686/773 is

GCF of Numerators i.e. for 11,686 is 1

LCM of denominators i.e. for 279,773 is 215667.

Thus, GCF of Fractions is 1/215667.Finally, GCF of Fractions for 11/279, 686/773 is 1/215667.