Greatest Common Factor of 21/207, 78/582, 574/619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/207, 78/582, 574/619

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 21/207,78/582,574/619

Given fractions are 21/207,78/582,574/619

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 21,78,574

Greatest Common Factor of Numerators i.e. GCF of 21,78,574 is 1 .

LCM of Denominators means LCM of 207,582,619 as per the given fractions.

LCM of 207,582,619 is 24857802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,78,574

GCF of Fractions 21/207,78/582,574/619 is 1/24857802

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

Greatest Common Factor of 21,78,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,78,574 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 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 21,78,574 . The biggest common factor number is the GCF number.
So the greatest common factor 21,78,574 is 1.

Lets's calculate LCM of 207,582,619

3 207, 582, 619
69, 194, 619

∴ So the LCM of the given numbers is 3 x 69 x 194 x 619 = 24857802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24857802

Therefore, the GCF of Fractions 21/207,78/582,574/619 is 1/24857802

Least Common Multiple of 207,582,619 with GCF Formula

Least Common Multiple of 207,582,619 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 207,582,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(207,582,619) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(207,582,619) x common factors =1 x 3 = 3

LCM(207,582,619) = ( 207 × 582 × 619 ) / 3

LCM(207,582,619) = 74573406 / 3

LCM(207,582,619) = 24857802


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 21/207, 78/582, 574/619

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 21/207, 78/582, 574/619?

Answer: GCF of Numerators as per given numbers 21/207, 78/582, 574/619 is

GCF of Numerators i.e. for 21,78,574 is 1

LCM of denominators i.e. for 207,582,619 is 24857802.

Thus, GCF of Fractions is 1/24857802.Finally, GCF of Fractions for 21/207, 78/582, 574/619 is 1/24857802.