Greatest Common Factor of 6585/83, 3617/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6585/83, 3617/150

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 6585/83,3617/150

Given fractions are 6585/83,3617/150

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 6585,3617

Greatest Common Factor of Numerators i.e. GCF of 6585,3617 is 1 .

LCM of Denominators means LCM of 83,150 as per the given fractions.

LCM of 83,150 is 12450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6585,3617

GCF of Fractions 6585/83,3617/150 is 1/12450

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

Greatest Common Factor of 6585,3617 By Matching Biggest Common Factor Method

Greatest Common Factor of 6585,3617 By Matching Biggest Common Factor Method

Factors of 6585

List of positive integer factors of 6585 that divides 6585 without a remainder.

1,3,5,15,439,1317,2195,6585

Factors of 3617

List of positive integer factors of 3617 that divides 3617 without a remainder.

1,3617

Greatest Common Factor

We found the factors 6585,3617 . The biggest common factor number is the GCF number.
So the greatest common factor 6585,3617 is 1.

Lets's calculate LCM of 83,150

Given numbers has no common factors except 1. So, there LCM is their product i.e 12450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12450

Therefore, the GCF of Fractions 6585/83,3617/150 is 1/12450

Least Common Multiple of 83,150 with GCF Formula

Least Common Multiple of 83,150 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 83,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,150) = 1

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

GCF(83,150) x common factors =1 x 1 = 1

LCM(83,150) = ( 83 × 150 ) / 1

LCM(83,150) = 12450 / 1

LCM(83,150) = 12450


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 6585/83, 3617/150

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 6585/83, 3617/150?

Answer: GCF of Numerators as per given numbers 6585/83, 3617/150 is

GCF of Numerators i.e. for 6585,3617 is 1

LCM of denominators i.e. for 83,150 is 12450.

Thus, GCF of Fractions is 1/12450.Finally, GCF of Fractions for 6585/83, 3617/150 is 1/12450.