Greatest Common Factor of 7683/612, 3603/2281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7683/612, 3603/2281

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 7683/612,3603/2281

Given fractions are 7683/612,3603/2281

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 7683,3603

Greatest Common Factor of Numerators i.e. GCF of 7683,3603 is 3 .

LCM of Denominators means LCM of 612,2281 as per the given fractions.

LCM of 612,2281 is 1395972 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7683,3603

GCF of Fractions 7683/612,3603/2281 is 3/1395972

3 7683, 3603
2561, 1201

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7683,3603 By Matching Biggest Common Factor Method

Greatest Common Factor of 7683,3603 By Matching Biggest Common Factor Method

Factors of 7683

List of positive integer factors of 7683 that divides 7683 without a remainder.

1,3,13,39,197,591,2561,7683

Factors of 3603

List of positive integer factors of 3603 that divides 3603 without a remainder.

1,3,1201,3603

Greatest Common Factor

We found the factors 7683,3603 . The biggest common factor number is the GCF number.
So the greatest common factor 7683,3603 is 3.

Lets's calculate LCM of 612,2281

Given numbers has no common factors except 1. So, there LCM is their product i.e 1395972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1395972

Therefore, the GCF of Fractions 7683/612,3603/2281 is 3/1395972

Least Common Multiple of 612,2281 with GCF Formula

Least Common Multiple of 612,2281 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 612,2281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,2281) = 1

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

GCF(612,2281) x common factors =1 x 1 = 1

LCM(612,2281) = ( 612 × 2281 ) / 1

LCM(612,2281) = 1395972 / 1

LCM(612,2281) = 1395972


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 7683/612, 3603/2281

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 7683/612, 3603/2281?

Answer: GCF of Numerators as per given numbers 7683/612, 3603/2281 is

GCF of Numerators i.e. for 7683,3603 is 3

LCM of denominators i.e. for 612,2281 is 1395972.

Thus, GCF of Fractions is 3/1395972.Finally, GCF of Fractions for 7683/612, 3603/2281 is 3/1395972.