Greatest Common Factor of 3470/343, 9946/2868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3470/343, 9946/2868

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 3470/343,9946/2868

Given fractions are 3470/343,9946/2868

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 3470,9946

Greatest Common Factor of Numerators i.e. GCF of 3470,9946 is 2 .

LCM of Denominators means LCM of 343,2868 as per the given fractions.

LCM of 343,2868 is 983724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3470,9946

GCF of Fractions 3470/343,9946/2868 is 2/983724

2 3470, 9946
1735, 4973

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3470,9946 By Matching Biggest Common Factor Method

Greatest Common Factor of 3470,9946 By Matching Biggest Common Factor Method

Factors of 3470

List of positive integer factors of 3470 that divides 3470 without a remainder.

1,2,5,10,347,694,1735,3470

Factors of 9946

List of positive integer factors of 9946 that divides 9946 without a remainder.

1,2,4973,9946

Greatest Common Factor

We found the factors 3470,9946 . The biggest common factor number is the GCF number.
So the greatest common factor 3470,9946 is 2.

Lets's calculate LCM of 343,2868

Given numbers has no common factors except 1. So, there LCM is their product i.e 983724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/983724

Therefore, the GCF of Fractions 3470/343,9946/2868 is 2/983724

Least Common Multiple of 343,2868 with GCF Formula

Least Common Multiple of 343,2868 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 343,2868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,2868) = 1

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

GCF(343,2868) x common factors =1 x 1 = 1

LCM(343,2868) = ( 343 × 2868 ) / 1

LCM(343,2868) = 983724 / 1

LCM(343,2868) = 983724


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 3470/343, 9946/2868

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 3470/343, 9946/2868?

Answer: GCF of Numerators as per given numbers 3470/343, 9946/2868 is

GCF of Numerators i.e. for 3470,9946 is 2

LCM of denominators i.e. for 343,2868 is 983724.

Thus, GCF of Fractions is 2/983724.Finally, GCF of Fractions for 3470/343, 9946/2868 is 2/983724.