Greatest Common Factor of 6615/264, 4590/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6615/264, 4590/347

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 6615/264,4590/347

Given fractions are 6615/264,4590/347

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 6615,4590

Greatest Common Factor of Numerators i.e. GCF of 6615,4590 is 135 .

LCM of Denominators means LCM of 264,347 as per the given fractions.

LCM of 264,347 is 91608 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6615,4590

GCF of Fractions 6615/264,4590/347 is 135/91608

3 6615, 4590
3 2205, 1530
3 735, 510
5 245, 170
49, 34

∴ So the GCF of the given numbers is 3 x 3 x 3 x 5 = 135

Greatest Common Factor of 6615,4590 By Matching Biggest Common Factor Method

Greatest Common Factor of 6615,4590 By Matching Biggest Common Factor Method

Factors of 6615

List of positive integer factors of 6615 that divides 6615 without a remainder.

1,3,5,7,9,15,21,27,35,45,49,63,105,135,147,189,245,315,441,735,945,1323,2205,6615

Factors of 4590

List of positive integer factors of 4590 that divides 4590 without a remainder.

1,2,3,5,6,9,10,15,17,18,27,30,34,45,51,54,85,90,102,135,153,170,255,270,306,459,510,765,918,1530,2295,4590

Greatest Common Factor

We found the factors 6615,4590 . The biggest common factor number is the GCF number.
So the greatest common factor 6615,4590 is 135.

Lets's calculate LCM of 264,347

Given numbers has no common factors except 1. So, there LCM is their product i.e 91608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 135/91608

Therefore, the GCF of Fractions 6615/264,4590/347 is 135/91608

Least Common Multiple of 264,347 with GCF Formula

Least Common Multiple of 264,347 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 264,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,347) = 1

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

GCF(264,347) x common factors =1 x 1 = 1

LCM(264,347) = ( 264 × 347 ) / 1

LCM(264,347) = 91608 / 1

LCM(264,347) = 91608


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 6615/264, 4590/347

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 6615/264, 4590/347?

Answer: GCF of Numerators as per given numbers 6615/264, 4590/347 is

GCF of Numerators i.e. for 6615,4590 is 135

LCM of denominators i.e. for 264,347 is 91608.

Thus, GCF of Fractions is 135/91608.Finally, GCF of Fractions for 6615/264, 4590/347 is 135/91608.