Greatest Common Factor of 3705/667, 3240/2978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3705/667, 3240/2978

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 3705/667,3240/2978

Given fractions are 3705/667,3240/2978

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 3705,3240

Greatest Common Factor of Numerators i.e. GCF of 3705,3240 is 15 .

LCM of Denominators means LCM of 667,2978 as per the given fractions.

LCM of 667,2978 is 1986326 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3705,3240

GCF of Fractions 3705/667,3240/2978 is 15/1986326

3 3705, 3240
5 1235, 1080
247, 216

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 3705,3240 By Matching Biggest Common Factor Method

Greatest Common Factor of 3705,3240 By Matching Biggest Common Factor Method

Factors of 3705

List of positive integer factors of 3705 that divides 3705 without a remainder.

1,3,5,13,15,19,39,57,65,95,195,247,285,741,1235,3705

Factors of 3240

List of positive integer factors of 3240 that divides 3240 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,270,324,360,405,540,648,810,1080,1620,3240

Greatest Common Factor

We found the factors 3705,3240 . The biggest common factor number is the GCF number.
So the greatest common factor 3705,3240 is 15.

Lets's calculate LCM of 667,2978

Given numbers has no common factors except 1. So, there LCM is their product i.e 1986326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1986326

Therefore, the GCF of Fractions 3705/667,3240/2978 is 15/1986326

Least Common Multiple of 667,2978 with GCF Formula

Least Common Multiple of 667,2978 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 667,2978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,2978) = 1

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

GCF(667,2978) x common factors =1 x 1 = 1

LCM(667,2978) = ( 667 × 2978 ) / 1

LCM(667,2978) = 1986326 / 1

LCM(667,2978) = 1986326


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 3705/667, 3240/2978

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 3705/667, 3240/2978?

Answer: GCF of Numerators as per given numbers 3705/667, 3240/2978 is

GCF of Numerators i.e. for 3705,3240 is 15

LCM of denominators i.e. for 667,2978 is 1986326.

Thus, GCF of Fractions is 15/1986326.Finally, GCF of Fractions for 3705/667, 3240/2978 is 15/1986326.