Greatest Common Factor of 3647/20, 1585/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3647/20, 1585/472

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 3647/20,1585/472

Given fractions are 3647/20,1585/472

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 3647,1585

Greatest Common Factor of Numerators i.e. GCF of 3647,1585 is 1 .

LCM of Denominators means LCM of 20,472 as per the given fractions.

LCM of 20,472 is 2360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3647,1585

GCF of Fractions 3647/20,1585/472 is 1/2360

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

Greatest Common Factor of 3647,1585 By Matching Biggest Common Factor Method

Greatest Common Factor of 3647,1585 By Matching Biggest Common Factor Method

Factors of 3647

List of positive integer factors of 3647 that divides 3647 without a remainder.

1,7,521,3647

Factors of 1585

List of positive integer factors of 1585 that divides 1585 without a remainder.

1,5,317,1585

Greatest Common Factor

We found the factors 3647,1585 . The biggest common factor number is the GCF number.
So the greatest common factor 3647,1585 is 1.

Lets's calculate LCM of 20,472

2 20, 472
2 10, 236
5, 118

∴ So the LCM of the given numbers is 2 x 2 x 5 x 118 = 2360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2360

Therefore, the GCF of Fractions 3647/20,1585/472 is 1/2360

Least Common Multiple of 20,472 with GCF Formula

Least Common Multiple of 20,472 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 20,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,472) = 4

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

GCF(20,472) x common factors =4 x 1 = 4

LCM(20,472) = ( 20 × 472 ) / 4

LCM(20,472) = 9440 / 4

LCM(20,472) = 2360


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 3647/20, 1585/472

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 3647/20, 1585/472?

Answer: GCF of Numerators as per given numbers 3647/20, 1585/472 is

GCF of Numerators i.e. for 3647,1585 is 1

LCM of denominators i.e. for 20,472 is 2360.

Thus, GCF of Fractions is 1/2360.Finally, GCF of Fractions for 3647/20, 1585/472 is 1/2360.