Greatest Common Factor of 30/79, 983/13, 658/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 30/79, 983/13, 658/861

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 30/79,983/13,658/861

Given fractions are 30/79,983/13,658/861

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 30,983,658

Greatest Common Factor of Numerators i.e. GCF of 30,983,658 is 1 .

LCM of Denominators means LCM of 79,13,861 as per the given fractions.

LCM of 79,13,861 is 884247 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,983,658

GCF of Fractions 30/79,983/13,658/861 is 1/884247

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

Greatest Common Factor of 30,983,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,983,658 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 30,983,658 . The biggest common factor number is the GCF number.
So the greatest common factor 30,983,658 is 1.


Lets's calculate LCM of 79,13,861

Given numbers has no common factors except 1. So, there LCM is their product i.e 884247

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/884247

Therefore, the GCF of Fractions 30/79,983/13,658/861 is 1/884247

Least Common Multiple of 79,13,861 with GCF Formula

Least Common Multiple of 79,13,861 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 79,13,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,13,861) = 1

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

GCF(79,13,861) x common factors =1 x 1 = 1

LCM(79,13,861) = ( 79 × 13 × 861 ) / 1

LCM(79,13,861) = 884247 / 1

LCM(79,13,861) = 884247


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 30/79, 983/13, 658/861

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 30/79, 983/13, 658/861?

Answer: GCF of Numerators as per given numbers 30/79, 983/13, 658/861 is

GCF of Numerators i.e. for 30,983,658 is 1

LCM of denominators i.e. for 79,13,861 is 884247.

Thus, GCF of Fractions is 1/884247.Finally, GCF of Fractions for 30/79, 983/13, 658/861 is 1/884247.