Greatest Common Factor of 615/31, 954/39, 890/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 615/31, 954/39, 890/766

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 615/31,954/39,890/766

Given fractions are 615/31,954/39,890/766

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 615,954,890

Greatest Common Factor of Numerators i.e. GCF of 615,954,890 is 1 .

LCM of Denominators means LCM of 31,39,766 as per the given fractions.

LCM of 31,39,766 is 926094 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 615,954,890

GCF of Fractions 615/31,954/39,890/766 is 1/926094

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

Greatest Common Factor of 615,954,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,954,890 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 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 615,954,890 . The biggest common factor number is the GCF number.
So the greatest common factor 615,954,890 is 1.

Lets's calculate LCM of 31,39,766

Given numbers has no common factors except 1. So, there LCM is their product i.e 926094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/926094

Therefore, the GCF of Fractions 615/31,954/39,890/766 is 1/926094

Least Common Multiple of 31,39,766 with GCF Formula

Least Common Multiple of 31,39,766 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 31,39,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,39,766) = 1

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

GCF(31,39,766) x common factors =1 x 1 = 1

LCM(31,39,766) = ( 31 × 39 × 766 ) / 1

LCM(31,39,766) = 926094 / 1

LCM(31,39,766) = 926094


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, 954/39, 890/766

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, 954/39, 890/766?

Answer: GCF of Numerators as per given numbers 615/31, 954/39, 890/766 is

GCF of Numerators i.e. for 615,954,890 is 1

LCM of denominators i.e. for 31,39,766 is 926094.

Thus, GCF of Fractions is 1/926094.Finally, GCF of Fractions for 615/31, 954/39, 890/766 is 1/926094.