Greatest Common Factor of 3623/17, 1987/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3623/17, 1987/543

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 3623/17,1987/543

Given fractions are 3623/17,1987/543

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 3623,1987

Greatest Common Factor of Numerators i.e. GCF of 3623,1987 is 1 .

LCM of Denominators means LCM of 17,543 as per the given fractions.

LCM of 17,543 is 9231 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3623,1987

GCF of Fractions 3623/17,1987/543 is 1/9231

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

Greatest Common Factor of 3623,1987 By Matching Biggest Common Factor Method

Greatest Common Factor of 3623,1987 By Matching Biggest Common Factor Method

Factors of 3623

List of positive integer factors of 3623 that divides 3623 without a remainder.

1,3623

Factors of 1987

List of positive integer factors of 1987 that divides 1987 without a remainder.

1,1987

Greatest Common Factor

We found the factors 3623,1987 . The biggest common factor number is the GCF number.
So the greatest common factor 3623,1987 is 1.

Lets's calculate LCM of 17,543

Given numbers has no common factors except 1. So, there LCM is their product i.e 9231

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9231

Therefore, the GCF of Fractions 3623/17,1987/543 is 1/9231

Least Common Multiple of 17,543 with GCF Formula

Least Common Multiple of 17,543 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 17,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,543) = 1

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

GCF(17,543) x common factors =1 x 1 = 1

LCM(17,543) = ( 17 × 543 ) / 1

LCM(17,543) = 9231 / 1

LCM(17,543) = 9231


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 3623/17, 1987/543

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 3623/17, 1987/543?

Answer: GCF of Numerators as per given numbers 3623/17, 1987/543 is

GCF of Numerators i.e. for 3623,1987 is 1

LCM of denominators i.e. for 17,543 is 9231.

Thus, GCF of Fractions is 1/9231.Finally, GCF of Fractions for 3623/17, 1987/543 is 1/9231.