Greatest Common Factor of 3370/960, 6394/6977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3370/960, 6394/6977

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 3370/960,6394/6977

Given fractions are 3370/960,6394/6977

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 3370,6394

Greatest Common Factor of Numerators i.e. GCF of 3370,6394 is 2 .

LCM of Denominators means LCM of 960,6977 as per the given fractions.

LCM of 960,6977 is 6697920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3370,6394

GCF of Fractions 3370/960,6394/6977 is 2/6697920

2 3370, 6394
1685, 3197

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

Greatest Common Factor of 3370,6394 By Matching Biggest Common Factor Method

Greatest Common Factor of 3370,6394 By Matching Biggest Common Factor Method

Factors of 3370

List of positive integer factors of 3370 that divides 3370 without a remainder.

1,2,5,10,337,674,1685,3370

Factors of 6394

List of positive integer factors of 6394 that divides 6394 without a remainder.

1,2,23,46,139,278,3197,6394

Greatest Common Factor

We found the factors 3370,6394 . The biggest common factor number is the GCF number.
So the greatest common factor 3370,6394 is 2.

Lets's calculate LCM of 960,6977

Given numbers has no common factors except 1. So, there LCM is their product i.e 6697920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6697920

Therefore, the GCF of Fractions 3370/960,6394/6977 is 2/6697920

Least Common Multiple of 960,6977 with GCF Formula

Least Common Multiple of 960,6977 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 960,6977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,6977) = 1

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

GCF(960,6977) x common factors =1 x 1 = 1

LCM(960,6977) = ( 960 × 6977 ) / 1

LCM(960,6977) = 6697920 / 1

LCM(960,6977) = 6697920


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 3370/960, 6394/6977

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 3370/960, 6394/6977?

Answer: GCF of Numerators as per given numbers 3370/960, 6394/6977 is

GCF of Numerators i.e. for 3370,6394 is 2

LCM of denominators i.e. for 960,6977 is 6697920.

Thus, GCF of Fractions is 2/6697920.Finally, GCF of Fractions for 3370/960, 6394/6977 is 2/6697920.