Greatest Common Factor of 7479/74, 2205/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7479/74, 2205/458

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 7479/74,2205/458

Given fractions are 7479/74,2205/458

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 7479,2205

Greatest Common Factor of Numerators i.e. GCF of 7479,2205 is 9 .

LCM of Denominators means LCM of 74,458 as per the given fractions.

LCM of 74,458 is 16946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7479,2205

GCF of Fractions 7479/74,2205/458 is 9/16946

3 7479, 2205
3 2493, 735
831, 245

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

Greatest Common Factor of 7479,2205 By Matching Biggest Common Factor Method

Greatest Common Factor of 7479,2205 By Matching Biggest Common Factor Method

Factors of 7479

List of positive integer factors of 7479 that divides 7479 without a remainder.

1,3,9,27,277,831,2493,7479

Factors of 2205

List of positive integer factors of 2205 that divides 2205 without a remainder.

1,3,5,7,9,15,21,35,45,49,63,105,147,245,315,441,735,2205

Greatest Common Factor

We found the factors 7479,2205 . The biggest common factor number is the GCF number.
So the greatest common factor 7479,2205 is 9.

Lets's calculate LCM of 74,458

2 74, 458
37, 229

∴ So the LCM of the given numbers is 2 x 37 x 229 = 16946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/16946

Therefore, the GCF of Fractions 7479/74,2205/458 is 9/16946

Least Common Multiple of 74,458 with GCF Formula

Least Common Multiple of 74,458 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 74,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,458) = 2

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

GCF(74,458) x common factors =2 x 1 = 2

LCM(74,458) = ( 74 × 458 ) / 2

LCM(74,458) = 33892 / 2

LCM(74,458) = 16946


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 7479/74, 2205/458

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 7479/74, 2205/458?

Answer: GCF of Numerators as per given numbers 7479/74, 2205/458 is

GCF of Numerators i.e. for 7479,2205 is 9

LCM of denominators i.e. for 74,458 is 16946.

Thus, GCF of Fractions is 9/16946.Finally, GCF of Fractions for 7479/74, 2205/458 is 9/16946.