Greatest Common Factor of 27/93, 58/17, 12/13, 19/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/93, 58/17, 12/13, 19/765

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 27/93,58/17,12/13,19/765

Given fractions are 27/93,58/17,12/13,19/765

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 27,58,12,19

Greatest Common Factor of Numerators i.e. GCF of 27,58,12,19 is 1 .

LCM of Denominators means LCM of 93,17,13,765 as per the given fractions.

LCM of 93,17,13,765 is 308295 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,58,12,19

GCF of Fractions 27/93,58/17,12/13,19/765 is 1/308295

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

Greatest Common Factor of 27,58,12,19 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,58,12,19 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Greatest Common Factor

We found the factors 27,58,12,19 . The biggest common factor number is the GCF number.
So the greatest common factor 27,58,12,19 is 1.

Lets's calculate LCM of 93,17,13,765

3 93, 17, 13, 765
17 31, 17, 13, 255
31, 1, 13, 15

∴ So the LCM of the given numbers is 3 x 17 x 31 x 1 x 13 x 15 = 308295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308295

Therefore, the GCF of Fractions 27/93,58/17,12/13,19/765 is 1/308295

Least Common Multiple of 93,17,13,765 with GCF Formula

Least Common Multiple of 93,17,13,765 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 93,17,13,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,17,13,765) = 1

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

GCF(93,17,13,765) x common factors =1 x 51 = 51

LCM(93,17,13,765) = ( 93 × 17 × 13 × 765 ) / 51

LCM(93,17,13,765) = 15723045 / 51

LCM(93,17,13,765) = 308295


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 27/93, 58/17, 12/13, 19/765

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 27/93, 58/17, 12/13, 19/765?

Answer: GCF of Numerators as per given numbers 27/93, 58/17, 12/13, 19/765 is

GCF of Numerators i.e. for 27,58,12,19 is 1

LCM of denominators i.e. for 93,17,13,765 is 308295.

Thus, GCF of Fractions is 1/308295.Finally, GCF of Fractions for 27/93, 58/17, 12/13, 19/765 is 1/308295.