Greatest Common Factor of 21/11, 76/776, 552/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/11, 76/776, 552/913

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 21/11,76/776,552/913

Given fractions are 21/11,76/776,552/913

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 21,76,552

Greatest Common Factor of Numerators i.e. GCF of 21,76,552 is 1 .

LCM of Denominators means LCM of 11,776,913 as per the given fractions.

LCM of 11,776,913 is 708488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,76,552

GCF of Fractions 21/11,76/776,552/913 is 1/708488

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

Greatest Common Factor of 21,76,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,76,552 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 21,76,552 . The biggest common factor number is the GCF number.
So the greatest common factor 21,76,552 is 1.

Lets's calculate LCM of 11,776,913

11 11, 776, 913
1, 776, 83

∴ So the LCM of the given numbers is 11 x 1 x 776 x 83 = 708488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/708488

Therefore, the GCF of Fractions 21/11,76/776,552/913 is 1/708488

Least Common Multiple of 11,776,913 with GCF Formula

Least Common Multiple of 11,776,913 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 11,776,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,776,913) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(11,776,913) x common factors =1 x 11 = 11

LCM(11,776,913) = ( 11 × 776 × 913 ) / 11

LCM(11,776,913) = 7793368 / 11

LCM(11,776,913) = 708488


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 21/11, 76/776, 552/913

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 21/11, 76/776, 552/913?

Answer: GCF of Numerators as per given numbers 21/11, 76/776, 552/913 is

GCF of Numerators i.e. for 21,76,552 is 1

LCM of denominators i.e. for 11,776,913 is 708488.

Thus, GCF of Fractions is 1/708488.Finally, GCF of Fractions for 21/11, 76/776, 552/913 is 1/708488.