Greatest Common Factor of 2986/209, 9743/6724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2986/209, 9743/6724

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 2986/209,9743/6724

Given fractions are 2986/209,9743/6724

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 2986,9743

Greatest Common Factor of Numerators i.e. GCF of 2986,9743 is 1 .

LCM of Denominators means LCM of 209,6724 as per the given fractions.

LCM of 209,6724 is 1405316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2986,9743

GCF of Fractions 2986/209,9743/6724 is 1/1405316

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

Greatest Common Factor of 2986,9743 By Matching Biggest Common Factor Method

Greatest Common Factor of 2986,9743 By Matching Biggest Common Factor Method

Factors of 2986

List of positive integer factors of 2986 that divides 2986 without a remainder.

1,2,1493,2986

Factors of 9743

List of positive integer factors of 9743 that divides 9743 without a remainder.

1,9743

Greatest Common Factor

We found the factors 2986,9743 . The biggest common factor number is the GCF number.
So the greatest common factor 2986,9743 is 1.

Lets's calculate LCM of 209,6724

Given numbers has no common factors except 1. So, there LCM is their product i.e 1405316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1405316

Therefore, the GCF of Fractions 2986/209,9743/6724 is 1/1405316

Least Common Multiple of 209,6724 with GCF Formula

Least Common Multiple of 209,6724 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 209,6724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,6724) = 1

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

GCF(209,6724) x common factors =1 x 1 = 1

LCM(209,6724) = ( 209 × 6724 ) / 1

LCM(209,6724) = 1405316 / 1

LCM(209,6724) = 1405316


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 2986/209, 9743/6724

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 2986/209, 9743/6724?

Answer: GCF of Numerators as per given numbers 2986/209, 9743/6724 is

GCF of Numerators i.e. for 2986,9743 is 1

LCM of denominators i.e. for 209,6724 is 1405316.

Thus, GCF of Fractions is 1/1405316.Finally, GCF of Fractions for 2986/209, 9743/6724 is 1/1405316.