Greatest Common Factor of 1583/21, 3682/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1583/21, 3682/963

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 1583/21,3682/963

Given fractions are 1583/21,3682/963

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 1583,3682

Greatest Common Factor of Numerators i.e. GCF of 1583,3682 is 1 .

LCM of Denominators means LCM of 21,963 as per the given fractions.

LCM of 21,963 is 6741 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1583,3682

GCF of Fractions 1583/21,3682/963 is 1/6741

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

Greatest Common Factor of 1583,3682 By Matching Biggest Common Factor Method

Greatest Common Factor of 1583,3682 By Matching Biggest Common Factor Method

Factors of 1583

List of positive integer factors of 1583 that divides 1583 without a remainder.

1,1583

Factors of 3682

List of positive integer factors of 3682 that divides 3682 without a remainder.

1,2,7,14,263,526,1841,3682

Greatest Common Factor

We found the factors 1583,3682 . The biggest common factor number is the GCF number.
So the greatest common factor 1583,3682 is 1.

Lets's calculate LCM of 21,963

3 21, 963
7, 321

∴ So the LCM of the given numbers is 3 x 7 x 321 = 6741

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6741

Therefore, the GCF of Fractions 1583/21,3682/963 is 1/6741

Least Common Multiple of 21,963 with GCF Formula

Least Common Multiple of 21,963 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 21,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,963) = 3

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

GCF(21,963) x common factors =3 x 1 = 3

LCM(21,963) = ( 21 × 963 ) / 3

LCM(21,963) = 20223 / 3

LCM(21,963) = 6741


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 1583/21, 3682/963

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 1583/21, 3682/963?

Answer: GCF of Numerators as per given numbers 1583/21, 3682/963 is

GCF of Numerators i.e. for 1583,3682 is 1

LCM of denominators i.e. for 21,963 is 6741.

Thus, GCF of Fractions is 1/6741.Finally, GCF of Fractions for 1583/21, 3682/963 is 1/6741.