Greatest Common Factor of 225/406, 9817/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 225/406, 9817/508

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 225/406,9817/508

Given fractions are 225/406,9817/508

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 225,9817

Greatest Common Factor of Numerators i.e. GCF of 225,9817 is 1 .

LCM of Denominators means LCM of 406,508 as per the given fractions.

LCM of 406,508 is 103124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 225,9817

GCF of Fractions 225/406,9817/508 is 1/103124

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

Greatest Common Factor of 225,9817 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,9817 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 9817

List of positive integer factors of 9817 that divides 9817 without a remainder.

1,9817

Greatest Common Factor

We found the factors 225,9817 . The biggest common factor number is the GCF number.
So the greatest common factor 225,9817 is 1.

Lets's calculate LCM of 406,508

2 406, 508
203, 254

∴ So the LCM of the given numbers is 2 x 203 x 254 = 103124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103124

Therefore, the GCF of Fractions 225/406,9817/508 is 1/103124

Least Common Multiple of 406,508 with GCF Formula

Least Common Multiple of 406,508 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 406,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,508) = 2

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

GCF(406,508) x common factors =2 x 1 = 2

LCM(406,508) = ( 406 × 508 ) / 2

LCM(406,508) = 206248 / 2

LCM(406,508) = 103124


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 225/406, 9817/508

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 225/406, 9817/508?

Answer: GCF of Numerators as per given numbers 225/406, 9817/508 is

GCF of Numerators i.e. for 225,9817 is 1

LCM of denominators i.e. for 406,508 is 103124.

Thus, GCF of Fractions is 1/103124.Finally, GCF of Fractions for 225/406, 9817/508 is 1/103124.