Greatest Common Factor of 615/44, 105/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 615/44, 105/584

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 615/44,105/584

Given fractions are 615/44,105/584

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 615,105

Greatest Common Factor of Numerators i.e. GCF of 615,105 is 15 .

LCM of Denominators means LCM of 44,584 as per the given fractions.

LCM of 44,584 is 6424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 615,105

GCF of Fractions 615/44,105/584 is 15/6424

3 615, 105
5 205, 35
41, 7

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 615,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,105 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 615,105 . The biggest common factor number is the GCF number.
So the greatest common factor 615,105 is 15.

Lets's calculate LCM of 44,584

2 44, 584
2 22, 292
11, 146

∴ So the LCM of the given numbers is 2 x 2 x 11 x 146 = 6424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/6424

Therefore, the GCF of Fractions 615/44,105/584 is 15/6424

Least Common Multiple of 44,584 with GCF Formula

Least Common Multiple of 44,584 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 44,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,584) = 4

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

GCF(44,584) x common factors =4 x 1 = 4

LCM(44,584) = ( 44 × 584 ) / 4

LCM(44,584) = 25696 / 4

LCM(44,584) = 6424


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 615/44, 105/584

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 615/44, 105/584?

Answer: GCF of Numerators as per given numbers 615/44, 105/584 is

GCF of Numerators i.e. for 615,105 is 15

LCM of denominators i.e. for 44,584 is 6424.

Thus, GCF of Fractions is 15/6424.Finally, GCF of Fractions for 615/44, 105/584 is 15/6424.