Greatest Common Factor of 79/13, 21/14, 984/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 79/13, 21/14, 984/105

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 79/13,21/14,984/105

Given fractions are 79/13,21/14,984/105

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 79,21,984

Greatest Common Factor of Numerators i.e. GCF of 79,21,984 is 1 .

LCM of Denominators means LCM of 13,14,105 as per the given fractions.

LCM of 13,14,105 is 2730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 79,21,984

GCF of Fractions 79/13,21/14,984/105 is 1/2730

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

Greatest Common Factor of 79,21,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,21,984 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 79,21,984 . The biggest common factor number is the GCF number.
So the greatest common factor 79,21,984 is 1.

Lets's calculate LCM of 13,14,105

7 13, 14, 105
13, 2, 15

∴ So the LCM of the given numbers is 7 x 13 x 2 x 15 = 2730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2730

Therefore, the GCF of Fractions 79/13,21/14,984/105 is 1/2730

Least Common Multiple of 13,14,105 with GCF Formula

Least Common Multiple of 13,14,105 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 13,14,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,14,105) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(13,14,105) x common factors =1 x 7 = 7

LCM(13,14,105) = ( 13 × 14 × 105 ) / 7

LCM(13,14,105) = 19110 / 7

LCM(13,14,105) = 2730


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 79/13, 21/14, 984/105

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 79/13, 21/14, 984/105?

Answer: GCF of Numerators as per given numbers 79/13, 21/14, 984/105 is

GCF of Numerators i.e. for 79,21,984 is 1

LCM of denominators i.e. for 13,14,105 is 2730.

Thus, GCF of Fractions is 1/2730.Finally, GCF of Fractions for 79/13, 21/14, 984/105 is 1/2730.