Greatest Common Factor of 206/58, 580/56, 138/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 206/58, 580/56, 138/612

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 206/58,580/56,138/612

Given fractions are 206/58,580/56,138/612

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 206,580,138

Greatest Common Factor of Numerators i.e. GCF of 206,580,138 is 2 .

LCM of Denominators means LCM of 58,56,612 as per the given fractions.

LCM of 58,56,612 is 248472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 206,580,138

GCF of Fractions 206/58,580/56,138/612 is 2/248472

2 206, 580, 138
103, 290, 69

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

Greatest Common Factor of 206,580,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,580,138 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 206,580,138 . The biggest common factor number is the GCF number.
So the greatest common factor 206,580,138 is 2.

Lets's calculate LCM of 58,56,612

2 58, 56, 612
2 29, 28, 306
29, 14, 153

∴ So the LCM of the given numbers is 2 x 2 x 29 x 14 x 153 = 248472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/248472

Therefore, the GCF of Fractions 206/58,580/56,138/612 is 2/248472

Least Common Multiple of 58,56,612 with GCF Formula

Least Common Multiple of 58,56,612 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 58,56,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,56,612) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(58,56,612) x common factors =2 x 4 = 8

LCM(58,56,612) = ( 58 × 56 × 612 ) / 8

LCM(58,56,612) = 1987776 / 8

LCM(58,56,612) = 248472


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 206/58, 580/56, 138/612

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 206/58, 580/56, 138/612?

Answer: GCF of Numerators as per given numbers 206/58, 580/56, 138/612 is

GCF of Numerators i.e. for 206,580,138 is 2

LCM of denominators i.e. for 58,56,612 is 248472.

Thus, GCF of Fractions is 2/248472.Finally, GCF of Fractions for 206/58, 580/56, 138/612 is 2/248472.