Greatest Common Factor of 3386/965, 1170/5867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3386/965, 1170/5867

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 3386/965,1170/5867

Given fractions are 3386/965,1170/5867

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 3386,1170

Greatest Common Factor of Numerators i.e. GCF of 3386,1170 is 2 .

LCM of Denominators means LCM of 965,5867 as per the given fractions.

LCM of 965,5867 is 5661655 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3386,1170

GCF of Fractions 3386/965,1170/5867 is 2/5661655

2 3386, 1170
1693, 585

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

Greatest Common Factor of 3386,1170 By Matching Biggest Common Factor Method

Greatest Common Factor of 3386,1170 By Matching Biggest Common Factor Method

Factors of 3386

List of positive integer factors of 3386 that divides 3386 without a remainder.

1,2,1693,3386

Factors of 1170

List of positive integer factors of 1170 that divides 1170 without a remainder.

1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,195,234,390,585,1170

Greatest Common Factor

We found the factors 3386,1170 . The biggest common factor number is the GCF number.
So the greatest common factor 3386,1170 is 2.

Lets's calculate LCM of 965,5867

Given numbers has no common factors except 1. So, there LCM is their product i.e 5661655

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5661655

Therefore, the GCF of Fractions 3386/965,1170/5867 is 2/5661655

Least Common Multiple of 965,5867 with GCF Formula

Least Common Multiple of 965,5867 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 965,5867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(965,5867) = 1

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

GCF(965,5867) x common factors =1 x 1 = 1

LCM(965,5867) = ( 965 × 5867 ) / 1

LCM(965,5867) = 5661655 / 1

LCM(965,5867) = 5661655


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 3386/965, 1170/5867

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 3386/965, 1170/5867?

Answer: GCF of Numerators as per given numbers 3386/965, 1170/5867 is

GCF of Numerators i.e. for 3386,1170 is 2

LCM of denominators i.e. for 965,5867 is 5661655.

Thus, GCF of Fractions is 2/5661655.Finally, GCF of Fractions for 3386/965, 1170/5867 is 2/5661655.