Greatest Common Factor of 9739/483, 2103/2997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9739/483, 2103/2997

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 9739/483,2103/2997

Given fractions are 9739/483,2103/2997

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 9739,2103

Greatest Common Factor of Numerators i.e. GCF of 9739,2103 is 1 .

LCM of Denominators means LCM of 483,2997 as per the given fractions.

LCM of 483,2997 is 482517 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9739,2103

GCF of Fractions 9739/483,2103/2997 is 1/482517

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

Greatest Common Factor of 9739,2103 By Matching Biggest Common Factor Method

Greatest Common Factor of 9739,2103 By Matching Biggest Common Factor Method

Factors of 9739

List of positive integer factors of 9739 that divides 9739 without a remainder.

1,9739

Factors of 2103

List of positive integer factors of 2103 that divides 2103 without a remainder.

1,3,701,2103

Greatest Common Factor

We found the factors 9739,2103 . The biggest common factor number is the GCF number.
So the greatest common factor 9739,2103 is 1.

Lets's calculate LCM of 483,2997

3 483, 2997
161, 999

∴ So the LCM of the given numbers is 3 x 161 x 999 = 482517

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/482517

Therefore, the GCF of Fractions 9739/483,2103/2997 is 1/482517

Least Common Multiple of 483,2997 with GCF Formula

Least Common Multiple of 483,2997 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 483,2997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,2997) = 3

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

GCF(483,2997) x common factors =3 x 1 = 3

LCM(483,2997) = ( 483 × 2997 ) / 3

LCM(483,2997) = 1447551 / 3

LCM(483,2997) = 482517


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 9739/483, 2103/2997

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 9739/483, 2103/2997?

Answer: GCF of Numerators as per given numbers 9739/483, 2103/2997 is

GCF of Numerators i.e. for 9739,2103 is 1

LCM of denominators i.e. for 483,2997 is 482517.

Thus, GCF of Fractions is 1/482517.Finally, GCF of Fractions for 9739/483, 2103/2997 is 1/482517.