Greatest Common Factor of 58/39, 278/39, 564/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/39, 278/39, 564/894

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 58/39,278/39,564/894

Given fractions are 58/39,278/39,564/894

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 58,278,564

Greatest Common Factor of Numerators i.e. GCF of 58,278,564 is 2 .

LCM of Denominators means LCM of 39,39,894 as per the given fractions.

LCM of 39,39,894 is 11622 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,278,564

GCF of Fractions 58/39,278/39,564/894 is 2/11622

2 58, 278, 564
29, 139, 282

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 58,278,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,278,564 By Matching Biggest Common Factor Method

Factors of 58

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

1,2,29,58

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 58,278,564 . The biggest common factor number is the GCF number.
So the greatest common factor 58,278,564 is 2.

Lets's calculate LCM of 39,39,894

3 39, 39, 894
13 13, 13, 298
1, 1, 298

∴ So the LCM of the given numbers is 3 x 13 x 1 x 1 x 298 = 11622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11622

Therefore, the GCF of Fractions 58/39,278/39,564/894 is 2/11622

Least Common Multiple of 39,39,894 with GCF Formula

Least Common Multiple of 39,39,894 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 39,39,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,39,894) = 3

common factors(in case of two or more numbers have common factors) = 39

GCF(39,39,894) x common factors =3 x 39 = 117

LCM(39,39,894) = ( 39 × 39 × 894 ) / 117

LCM(39,39,894) = 1359774 / 117

LCM(39,39,894) = 11622


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 58/39, 278/39, 564/894

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 58/39, 278/39, 564/894?

Answer: GCF of Numerators as per given numbers 58/39, 278/39, 564/894 is

GCF of Numerators i.e. for 58,278,564 is 2

LCM of denominators i.e. for 39,39,894 is 11622.

Thus, GCF of Fractions is 2/11622.Finally, GCF of Fractions for 58/39, 278/39, 564/894 is 2/11622.