Greatest Common Factor of 713/79, 335/22, 530/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 713/79, 335/22, 530/187

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 713/79,335/22,530/187

Given fractions are 713/79,335/22,530/187

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 713,335,530

Greatest Common Factor of Numerators i.e. GCF of 713,335,530 is 1 .

LCM of Denominators means LCM of 79,22,187 as per the given fractions.

LCM of 79,22,187 is 29546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 713,335,530

GCF of Fractions 713/79,335/22,530/187 is 1/29546

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

Greatest Common Factor of 713,335,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,335,530 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 713,335,530 . The biggest common factor number is the GCF number.
So the greatest common factor 713,335,530 is 1.

Lets's calculate LCM of 79,22,187

11 79, 22, 187
79, 2, 17

∴ So the LCM of the given numbers is 11 x 79 x 2 x 17 = 29546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29546

Therefore, the GCF of Fractions 713/79,335/22,530/187 is 1/29546

Least Common Multiple of 79,22,187 with GCF Formula

Least Common Multiple of 79,22,187 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 79,22,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,22,187) = 1

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

GCF(79,22,187) x common factors =1 x 11 = 11

LCM(79,22,187) = ( 79 × 22 × 187 ) / 11

LCM(79,22,187) = 325006 / 11

LCM(79,22,187) = 29546


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 713/79, 335/22, 530/187

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 713/79, 335/22, 530/187?

Answer: GCF of Numerators as per given numbers 713/79, 335/22, 530/187 is

GCF of Numerators i.e. for 713,335,530 is 1

LCM of denominators i.e. for 79,22,187 is 29546.

Thus, GCF of Fractions is 1/29546.Finally, GCF of Fractions for 713/79, 335/22, 530/187 is 1/29546.