Greatest Common Factor of 21/211, 55/654, 746/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/211, 55/654, 746/919

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 21/211,55/654,746/919

Given fractions are 21/211,55/654,746/919

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 21,55,746

Greatest Common Factor of Numerators i.e. GCF of 21,55,746 is 1 .

LCM of Denominators means LCM of 211,654,919 as per the given fractions.

LCM of 211,654,919 is 126816486 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,55,746

GCF of Fractions 21/211,55/654,746/919 is 1/126816486

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

Greatest Common Factor of 21,55,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,55,746 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 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 21,55,746 . The biggest common factor number is the GCF number.
So the greatest common factor 21,55,746 is 1.

Lets's calculate LCM of 211,654,919

Given numbers has no common factors except 1. So, there LCM is their product i.e 126816486

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126816486

Therefore, the GCF of Fractions 21/211,55/654,746/919 is 1/126816486

Least Common Multiple of 211,654,919 with GCF Formula

Least Common Multiple of 211,654,919 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 211,654,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,654,919) = 1

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

GCF(211,654,919) x common factors =1 x 1 = 1

LCM(211,654,919) = ( 211 × 654 × 919 ) / 1

LCM(211,654,919) = 126816486 / 1

LCM(211,654,919) = 126816486


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 21/211, 55/654, 746/919

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 21/211, 55/654, 746/919?

Answer: GCF of Numerators as per given numbers 21/211, 55/654, 746/919 is

GCF of Numerators i.e. for 21,55,746 is 1

LCM of denominators i.e. for 211,654,919 is 126816486.

Thus, GCF of Fractions is 1/126816486.Finally, GCF of Fractions for 21/211, 55/654, 746/919 is 1/126816486.