Greatest Common Factor of 158/12, 625/20, 658/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 158/12, 625/20, 658/817

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 158/12,625/20,658/817

Given fractions are 158/12,625/20,658/817

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 158,625,658

Greatest Common Factor of Numerators i.e. GCF of 158,625,658 is 1 .

LCM of Denominators means LCM of 12,20,817 as per the given fractions.

LCM of 12,20,817 is 49020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 158,625,658

GCF of Fractions 158/12,625/20,658/817 is 1/49020

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

Greatest Common Factor of 158,625,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,625,658 By Matching Biggest Common Factor Method

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 158,625,658 . The biggest common factor number is the GCF number.
So the greatest common factor 158,625,658 is 1.

Lets's calculate LCM of 12,20,817

2 12, 20, 817
2 6, 10, 817
3, 5, 817

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 817 = 49020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49020

Therefore, the GCF of Fractions 158/12,625/20,658/817 is 1/49020

Least Common Multiple of 12,20,817 with GCF Formula

Least Common Multiple of 12,20,817 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 12,20,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,20,817) = 1

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

GCF(12,20,817) x common factors =1 x 4 = 4

LCM(12,20,817) = ( 12 × 20 × 817 ) / 4

LCM(12,20,817) = 196080 / 4

LCM(12,20,817) = 49020


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 158/12, 625/20, 658/817

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 158/12, 625/20, 658/817?

Answer: GCF of Numerators as per given numbers 158/12, 625/20, 658/817 is

GCF of Numerators i.e. for 158,625,658 is 1

LCM of denominators i.e. for 12,20,817 is 49020.

Thus, GCF of Fractions is 1/49020.Finally, GCF of Fractions for 158/12, 625/20, 658/817 is 1/49020.