Greatest Common Factor of 615/79, 549/18, 885/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 615/79, 549/18, 885/362

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 615/79,549/18,885/362

Given fractions are 615/79,549/18,885/362

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 615,549,885

Greatest Common Factor of Numerators i.e. GCF of 615,549,885 is 3 .

LCM of Denominators means LCM of 79,18,362 as per the given fractions.

LCM of 79,18,362 is 257382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 615,549,885

GCF of Fractions 615/79,549/18,885/362 is 3/257382

3 615, 549, 885
205, 183, 295

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

Greatest Common Factor of 615,549,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,549,885 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 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 615,549,885 . The biggest common factor number is the GCF number.
So the greatest common factor 615,549,885 is 3.

Lets's calculate LCM of 79,18,362

2 79, 18, 362
79, 9, 181

∴ So the LCM of the given numbers is 2 x 79 x 9 x 181 = 257382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/257382

Therefore, the GCF of Fractions 615/79,549/18,885/362 is 3/257382

Least Common Multiple of 79,18,362 with GCF Formula

Least Common Multiple of 79,18,362 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 79,18,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,18,362) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(79,18,362) x common factors =1 x 2 = 2

LCM(79,18,362) = ( 79 × 18 × 362 ) / 2

LCM(79,18,362) = 514764 / 2

LCM(79,18,362) = 257382


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 615/79, 549/18, 885/362

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 615/79, 549/18, 885/362?

Answer: GCF of Numerators as per given numbers 615/79, 549/18, 885/362 is

GCF of Numerators i.e. for 615,549,885 is 3

LCM of denominators i.e. for 79,18,362 is 257382.

Thus, GCF of Fractions is 3/257382.Finally, GCF of Fractions for 615/79, 549/18, 885/362 is 3/257382.