Greatest Common Factor of 11/27, 111/97, 697/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/27, 111/97, 697/796

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 11/27,111/97,697/796

Given fractions are 11/27,111/97,697/796

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 11,111,697

Greatest Common Factor of Numerators i.e. GCF of 11,111,697 is 1 .

LCM of Denominators means LCM of 27,97,796 as per the given fractions.

LCM of 27,97,796 is 2084724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,111,697

GCF of Fractions 11/27,111/97,697/796 is 1/2084724

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

Greatest Common Factor of 11,111,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,111,697 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 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 11,111,697 . The biggest common factor number is the GCF number.
So the greatest common factor 11,111,697 is 1.

Lets's calculate LCM of 27,97,796

Given numbers has no common factors except 1. So, there LCM is their product i.e 2084724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2084724

Therefore, the GCF of Fractions 11/27,111/97,697/796 is 1/2084724

Least Common Multiple of 27,97,796 with GCF Formula

Least Common Multiple of 27,97,796 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 27,97,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,97,796) = 1

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

GCF(27,97,796) x common factors =1 x 1 = 1

LCM(27,97,796) = ( 27 × 97 × 796 ) / 1

LCM(27,97,796) = 2084724 / 1

LCM(27,97,796) = 2084724


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 11/27, 111/97, 697/796

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 11/27, 111/97, 697/796?

Answer: GCF of Numerators as per given numbers 11/27, 111/97, 697/796 is

GCF of Numerators i.e. for 11,111,697 is 1

LCM of denominators i.e. for 27,97,796 is 2084724.

Thus, GCF of Fractions is 1/2084724.Finally, GCF of Fractions for 11/27, 111/97, 697/796 is 1/2084724.