Greatest Common Factor of 4103/718, 1989/5690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4103/718, 1989/5690

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 4103/718,1989/5690

Given fractions are 4103/718,1989/5690

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 4103,1989

Greatest Common Factor of Numerators i.e. GCF of 4103,1989 is 1 .

LCM of Denominators means LCM of 718,5690 as per the given fractions.

LCM of 718,5690 is 2042710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4103,1989

GCF of Fractions 4103/718,1989/5690 is 1/2042710

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

Greatest Common Factor of 4103,1989 By Matching Biggest Common Factor Method

Greatest Common Factor of 4103,1989 By Matching Biggest Common Factor Method

Factors of 4103

List of positive integer factors of 4103 that divides 4103 without a remainder.

1,11,373,4103

Factors of 1989

List of positive integer factors of 1989 that divides 1989 without a remainder.

1,3,9,13,17,39,51,117,153,221,663,1989

Greatest Common Factor

We found the factors 4103,1989 . The biggest common factor number is the GCF number.
So the greatest common factor 4103,1989 is 1.

Lets's calculate LCM of 718,5690

2 718, 5690
359, 2845

∴ So the LCM of the given numbers is 2 x 359 x 2845 = 2042710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2042710

Therefore, the GCF of Fractions 4103/718,1989/5690 is 1/2042710

Least Common Multiple of 718,5690 with GCF Formula

Least Common Multiple of 718,5690 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 718,5690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,5690) = 2

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

GCF(718,5690) x common factors =2 x 1 = 2

LCM(718,5690) = ( 718 × 5690 ) / 2

LCM(718,5690) = 4085420 / 2

LCM(718,5690) = 2042710


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 4103/718, 1989/5690

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 4103/718, 1989/5690?

Answer: GCF of Numerators as per given numbers 4103/718, 1989/5690 is

GCF of Numerators i.e. for 4103,1989 is 1

LCM of denominators i.e. for 718,5690 is 2042710.

Thus, GCF of Fractions is 1/2042710.Finally, GCF of Fractions for 4103/718, 1989/5690 is 1/2042710.