Greatest Common Factor of 596/51, 515/85, 705/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 596/51, 515/85, 705/21

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 596/51,515/85,705/21

Given fractions are 596/51,515/85,705/21

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 596,515,705

Greatest Common Factor of Numerators i.e. GCF of 596,515,705 is 1 .

LCM of Denominators means LCM of 51,85,21 as per the given fractions.

LCM of 51,85,21 is 1785 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 596,515,705

GCF of Fractions 596/51,515/85,705/21 is 1/1785

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

Greatest Common Factor of 596,515,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,515,705 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 596,515,705 . The biggest common factor number is the GCF number.
So the greatest common factor 596,515,705 is 1.

Lets's calculate LCM of 51,85,21

3 51, 85, 21
17 17, 85, 7
1, 5, 7

∴ So the LCM of the given numbers is 3 x 17 x 1 x 5 x 7 = 1785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1785

Therefore, the GCF of Fractions 596/51,515/85,705/21 is 1/1785

Least Common Multiple of 51,85,21 with GCF Formula

Least Common Multiple of 51,85,21 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 51,85,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,85,21) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(51,85,21) x common factors =1 x 51 = 51

LCM(51,85,21) = ( 51 × 85 × 21 ) / 51

LCM(51,85,21) = 91035 / 51

LCM(51,85,21) = 1785


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 596/51, 515/85, 705/21

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 596/51, 515/85, 705/21?

Answer: GCF of Numerators as per given numbers 596/51, 515/85, 705/21 is

GCF of Numerators i.e. for 596,515,705 is 1

LCM of denominators i.e. for 51,85,21 is 1785.

Thus, GCF of Fractions is 1/1785.Finally, GCF of Fractions for 596/51, 515/85, 705/21 is 1/1785.