Greatest Common Factor of 13/150, 62/150, 426/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/150, 62/150, 426/813

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 13/150,62/150,426/813

Given fractions are 13/150,62/150,426/813

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 13,62,426

Greatest Common Factor of Numerators i.e. GCF of 13,62,426 is 1 .

LCM of Denominators means LCM of 150,150,813 as per the given fractions.

LCM of 150,150,813 is 40650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,62,426

GCF of Fractions 13/150,62/150,426/813 is 1/40650

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

Greatest Common Factor of 13,62,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,62,426 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 13,62,426 . The biggest common factor number is the GCF number.
So the greatest common factor 13,62,426 is 1.

Lets's calculate LCM of 150,150,813

2 150, 150, 813
3 75, 75, 813
5 25, 25, 271
5 5, 5, 271
1, 1, 271

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 1 x 1 x 271 = 40650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40650

Therefore, the GCF of Fractions 13/150,62/150,426/813 is 1/40650

Least Common Multiple of 150,150,813 with GCF Formula

Least Common Multiple of 150,150,813 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 150,150,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,150,813) = 3

common factors(in case of two or more numbers have common factors) = 150

GCF(150,150,813) x common factors =3 x 150 = 450

LCM(150,150,813) = ( 150 × 150 × 813 ) / 450

LCM(150,150,813) = 18292500 / 450

LCM(150,150,813) = 40650


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 13/150, 62/150, 426/813

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 13/150, 62/150, 426/813?

Answer: GCF of Numerators as per given numbers 13/150, 62/150, 426/813 is

GCF of Numerators i.e. for 13,62,426 is 1

LCM of denominators i.e. for 150,150,813 is 40650.

Thus, GCF of Fractions is 1/40650.Finally, GCF of Fractions for 13/150, 62/150, 426/813 is 1/40650.