Greatest Common Factor of 339/76, 464/11, 904/87

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 339/76, 464/11, 904/87

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 339/76,464/11,904/87

Given fractions are 339/76,464/11,904/87

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 339,464,904

Greatest Common Factor of Numerators i.e. GCF of 339,464,904 is 1 .

LCM of Denominators means LCM of 76,11,87 as per the given fractions.

LCM of 76,11,87 is 72732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 339,464,904

GCF of Fractions 339/76,464/11,904/87 is 1/72732

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

Greatest Common Factor of 339,464,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,464,904 By Matching Biggest Common Factor Method

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 339,464,904 . The biggest common factor number is the GCF number.
So the greatest common factor 339,464,904 is 1.

Lets's calculate LCM of 76,11,87

Given numbers has no common factors except 1. So, there LCM is their product i.e 72732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72732

Therefore, the GCF of Fractions 339/76,464/11,904/87 is 1/72732

Least Common Multiple of 76,11,87 with GCF Formula

Least Common Multiple of 76,11,87 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 76,11,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,11,87) = 1

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

GCF(76,11,87) x common factors =1 x 1 = 1

LCM(76,11,87) = ( 76 × 11 × 87 ) / 1

LCM(76,11,87) = 72732 / 1

LCM(76,11,87) = 72732


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 339/76, 464/11, 904/87

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 339/76, 464/11, 904/87?

Answer: GCF of Numerators as per given numbers 339/76, 464/11, 904/87 is

GCF of Numerators i.e. for 339,464,904 is 1

LCM of denominators i.e. for 76,11,87 is 72732.

Thus, GCF of Fractions is 1/72732.Finally, GCF of Fractions for 339/76, 464/11, 904/87 is 1/72732.