Greatest Common Factor of 615/31, 104/27, 850/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 615/31, 104/27, 850/308

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 615/31,104/27,850/308

Given fractions are 615/31,104/27,850/308

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 615,104,850

Greatest Common Factor of Numerators i.e. GCF of 615,104,850 is 1 .

LCM of Denominators means LCM of 31,27,308 as per the given fractions.

LCM of 31,27,308 is 257796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 615,104,850

GCF of Fractions 615/31,104/27,850/308 is 1/257796

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 615,104,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,104,850 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 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 615,104,850 . The biggest common factor number is the GCF number.
So the greatest common factor 615,104,850 is 1.

Lets's calculate LCM of 31,27,308

Given numbers has no common factors except 1. So, there LCM is their product i.e 257796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257796

Therefore, the GCF of Fractions 615/31,104/27,850/308 is 1/257796

Least Common Multiple of 31,27,308 with GCF Formula

Least Common Multiple of 31,27,308 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 31,27,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,27,308) = 1

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

GCF(31,27,308) x common factors =1 x 1 = 1

LCM(31,27,308) = ( 31 × 27 × 308 ) / 1

LCM(31,27,308) = 257796 / 1

LCM(31,27,308) = 257796


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 615/31, 104/27, 850/308

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 615/31, 104/27, 850/308?

Answer: GCF of Numerators as per given numbers 615/31, 104/27, 850/308 is

GCF of Numerators i.e. for 615,104,850 is 1

LCM of denominators i.e. for 31,27,308 is 257796.

Thus, GCF of Fractions is 1/257796.Finally, GCF of Fractions for 615/31, 104/27, 850/308 is 1/257796.