Greatest Common Factor of 225/979, 6255/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 225/979, 6255/447

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 225/979,6255/447

Given fractions are 225/979,6255/447

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 225,6255

Greatest Common Factor of Numerators i.e. GCF of 225,6255 is 45 .

LCM of Denominators means LCM of 979,447 as per the given fractions.

LCM of 979,447 is 437613 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 225,6255

GCF of Fractions 225/979,6255/447 is 45/437613

3 225, 6255
3 75, 2085
5 25, 695
5, 139

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Greatest Common Factor of 225,6255 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,6255 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 6255

List of positive integer factors of 6255 that divides 6255 without a remainder.

1,3,5,9,15,45,139,417,695,1251,2085,6255

Greatest Common Factor

We found the factors 225,6255 . The biggest common factor number is the GCF number.
So the greatest common factor 225,6255 is 45.

Lets's calculate LCM of 979,447

Given numbers has no common factors except 1. So, there LCM is their product i.e 437613

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/437613

Therefore, the GCF of Fractions 225/979,6255/447 is 45/437613

Least Common Multiple of 979,447 with GCF Formula

Least Common Multiple of 979,447 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 979,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,447) = 1

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

GCF(979,447) x common factors =1 x 1 = 1

LCM(979,447) = ( 979 × 447 ) / 1

LCM(979,447) = 437613 / 1

LCM(979,447) = 437613


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 225/979, 6255/447

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 225/979, 6255/447?

Answer: GCF of Numerators as per given numbers 225/979, 6255/447 is

GCF of Numerators i.e. for 225,6255 is 45

LCM of denominators i.e. for 979,447 is 437613.

Thus, GCF of Fractions is 45/437613.Finally, GCF of Fractions for 225/979, 6255/447 is 45/437613.