Greatest Common Factor of 3960/209, 3647/6098

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3960/209, 3647/6098

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 3960/209,3647/6098

Given fractions are 3960/209,3647/6098

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 3960,3647

Greatest Common Factor of Numerators i.e. GCF of 3960,3647 is 1 .

LCM of Denominators means LCM of 209,6098 as per the given fractions.

LCM of 209,6098 is 1274482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3960,3647

GCF of Fractions 3960/209,3647/6098 is 1/1274482

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

Greatest Common Factor of 3960,3647 By Matching Biggest Common Factor Method

Greatest Common Factor of 3960,3647 By Matching Biggest Common Factor Method

Factors of 3960

List of positive integer factors of 3960 that divides 3960 without a remainder.

1,2,3,4,5,6,8,9,10,11,12,15,18,20,22,24,30,33,36,40,44,45,55,60,66,72,88,90,99,110,120,132,165,180,198,220,264,330,360,396,440,495,660,792,990,1320,1980,3960

Factors of 3647

List of positive integer factors of 3647 that divides 3647 without a remainder.

1,7,521,3647

Greatest Common Factor

We found the factors 3960,3647 . The biggest common factor number is the GCF number.
So the greatest common factor 3960,3647 is 1.

Lets's calculate LCM of 209,6098

Given numbers has no common factors except 1. So, there LCM is their product i.e 1274482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1274482

Therefore, the GCF of Fractions 3960/209,3647/6098 is 1/1274482

Least Common Multiple of 209,6098 with GCF Formula

Least Common Multiple of 209,6098 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 209,6098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,6098) = 1

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

GCF(209,6098) x common factors =1 x 1 = 1

LCM(209,6098) = ( 209 × 6098 ) / 1

LCM(209,6098) = 1274482 / 1

LCM(209,6098) = 1274482


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 3960/209, 3647/6098

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 3960/209, 3647/6098?

Answer: GCF of Numerators as per given numbers 3960/209, 3647/6098 is

GCF of Numerators i.e. for 3960,3647 is 1

LCM of denominators i.e. for 209,6098 is 1274482.

Thus, GCF of Fractions is 1/1274482.Finally, GCF of Fractions for 3960/209, 3647/6098 is 1/1274482.