Greatest Common Factor of 618/37, 839/61, 480/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 618/37, 839/61, 480/17

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 618/37,839/61,480/17

Given fractions are 618/37,839/61,480/17

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 618,839,480

Greatest Common Factor of Numerators i.e. GCF of 618,839,480 is 1 .

LCM of Denominators means LCM of 37,61,17 as per the given fractions.

LCM of 37,61,17 is 38369 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 618,839,480

GCF of Fractions 618/37,839/61,480/17 is 1/38369

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

Greatest Common Factor of 618,839,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,839,480 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 618,839,480 . The biggest common factor number is the GCF number.
So the greatest common factor 618,839,480 is 1.

Lets's calculate LCM of 37,61,17

Given numbers has no common factors except 1. So, there LCM is their product i.e 38369

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38369

Therefore, the GCF of Fractions 618/37,839/61,480/17 is 1/38369

Least Common Multiple of 37,61,17 with GCF Formula

Least Common Multiple of 37,61,17 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 37,61,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,61,17) = 1

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

GCF(37,61,17) x common factors =1 x 1 = 1

LCM(37,61,17) = ( 37 × 61 × 17 ) / 1

LCM(37,61,17) = 38369 / 1

LCM(37,61,17) = 38369


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 618/37, 839/61, 480/17

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 618/37, 839/61, 480/17?

Answer: GCF of Numerators as per given numbers 618/37, 839/61, 480/17 is

GCF of Numerators i.e. for 618,839,480 is 1

LCM of denominators i.e. for 37,61,17 is 38369.

Thus, GCF of Fractions is 1/38369.Finally, GCF of Fractions for 618/37, 839/61, 480/17 is 1/38369.