Greatest Common Factor of 27/58, 96/79, 651/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/58, 96/79, 651/586

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 27/58,96/79,651/586

Given fractions are 27/58,96/79,651/586

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 27,96,651

Greatest Common Factor of Numerators i.e. GCF of 27,96,651 is 3 .

LCM of Denominators means LCM of 58,79,586 as per the given fractions.

LCM of 58,79,586 is 1342526 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,96,651

GCF of Fractions 27/58,96/79,651/586 is 3/1342526

3 27, 96, 651
9, 32, 217

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 27,96,651 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,96,651 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 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Greatest Common Factor

We found the factors 27,96,651 . The biggest common factor number is the GCF number.
So the greatest common factor 27,96,651 is 3.

Lets's calculate LCM of 58,79,586

2 58, 79, 586
29, 79, 293

∴ So the LCM of the given numbers is 2 x 29 x 79 x 293 = 1342526

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1342526

Therefore, the GCF of Fractions 27/58,96/79,651/586 is 3/1342526

Least Common Multiple of 58,79,586 with GCF Formula

Least Common Multiple of 58,79,586 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 58,79,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,79,586) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(58,79,586) x common factors =1 x 2 = 2

LCM(58,79,586) = ( 58 × 79 × 586 ) / 2

LCM(58,79,586) = 2685052 / 2

LCM(58,79,586) = 1342526


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 27/58, 96/79, 651/586

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 27/58, 96/79, 651/586?

Answer: GCF of Numerators as per given numbers 27/58, 96/79, 651/586 is

GCF of Numerators i.e. for 27,96,651 is 3

LCM of denominators i.e. for 58,79,586 is 1342526.

Thus, GCF of Fractions is 3/1342526.Finally, GCF of Fractions for 27/58, 96/79, 651/586 is 3/1342526.