Greatest Common Factor of 286/257, 138/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 286/257, 138/182

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 286/257,138/182

Given fractions are 286/257,138/182

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 286,138

Greatest Common Factor of Numerators i.e. GCF of 286,138 is 2 .

LCM of Denominators means LCM of 257,182 as per the given fractions.

LCM of 257,182 is 46774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 286,138

GCF of Fractions 286/257,138/182 is 2/46774

2 286, 138
143, 69

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

Greatest Common Factor of 286,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,138 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

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 286,138 . The biggest common factor number is the GCF number.
So the greatest common factor 286,138 is 2.

Lets's calculate LCM of 257,182

Given numbers has no common factors except 1. So, there LCM is their product i.e 46774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46774

Therefore, the GCF of Fractions 286/257,138/182 is 2/46774

Least Common Multiple of 257,182 with GCF Formula

Least Common Multiple of 257,182 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 257,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,182) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(257,182) x common factors =1 x 1 = 1

LCM(257,182) = ( 257 × 182 ) / 1

LCM(257,182) = 46774 / 1

LCM(257,182) = 46774


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 286/257, 138/182

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 286/257, 138/182?

Answer: GCF of Numerators as per given numbers 286/257, 138/182 is

GCF of Numerators i.e. for 286,138 is 2

LCM of denominators i.e. for 257,182 is 46774.

Thus, GCF of Fractions is 2/46774.Finally, GCF of Fractions for 286/257, 138/182 is 2/46774.