Greatest Common Factor of 225/294, 612/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 225/294, 612/457

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 225/294,612/457

Given fractions are 225/294,612/457

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 225,612

Greatest Common Factor of Numerators i.e. GCF of 225,612 is 9 .

LCM of Denominators means LCM of 294,457 as per the given fractions.

LCM of 294,457 is 134358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 225,612

GCF of Fractions 225/294,612/457 is 9/134358

3 225, 612
3 75, 204
25, 68

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 225,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,612 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 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 225,612 . The biggest common factor number is the GCF number.
So the greatest common factor 225,612 is 9.

Lets's calculate LCM of 294,457

Given numbers has no common factors except 1. So, there LCM is their product i.e 134358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/134358

Therefore, the GCF of Fractions 225/294,612/457 is 9/134358

Least Common Multiple of 294,457 with GCF Formula

Least Common Multiple of 294,457 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 294,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,457) = 1

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

GCF(294,457) x common factors =1 x 1 = 1

LCM(294,457) = ( 294 × 457 ) / 1

LCM(294,457) = 134358 / 1

LCM(294,457) = 134358


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 225/294, 612/457

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 225/294, 612/457?

Answer: GCF of Numerators as per given numbers 225/294, 612/457 is

GCF of Numerators i.e. for 225,612 is 9

LCM of denominators i.e. for 294,457 is 134358.

Thus, GCF of Fractions is 9/134358.Finally, GCF of Fractions for 225/294, 612/457 is 9/134358.