Greatest Common Factor of 454/152, 9037/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 454/152, 9037/406

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 454/152,9037/406

Given fractions are 454/152,9037/406

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 454,9037

Greatest Common Factor of Numerators i.e. GCF of 454,9037 is 1 .

LCM of Denominators means LCM of 152,406 as per the given fractions.

LCM of 152,406 is 30856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 454,9037

GCF of Fractions 454/152,9037/406 is 1/30856

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

Greatest Common Factor of 454,9037 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,9037 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 9037

List of positive integer factors of 9037 that divides 9037 without a remainder.

1,7,1291,9037

Greatest Common Factor

We found the factors 454,9037 . The biggest common factor number is the GCF number.
So the greatest common factor 454,9037 is 1.

Lets's calculate LCM of 152,406

2 152, 406
76, 203

∴ So the LCM of the given numbers is 2 x 76 x 203 = 30856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30856

Therefore, the GCF of Fractions 454/152,9037/406 is 1/30856

Least Common Multiple of 152,406 with GCF Formula

Least Common Multiple of 152,406 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 152,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,406) = 2

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

GCF(152,406) x common factors =2 x 1 = 2

LCM(152,406) = ( 152 × 406 ) / 2

LCM(152,406) = 61712 / 2

LCM(152,406) = 30856


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 454/152, 9037/406

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 454/152, 9037/406?

Answer: GCF of Numerators as per given numbers 454/152, 9037/406 is

GCF of Numerators i.e. for 454,9037 is 1

LCM of denominators i.e. for 152,406 is 30856.

Thus, GCF of Fractions is 1/30856.Finally, GCF of Fractions for 454/152, 9037/406 is 1/30856.