Greatest Common Factor of 3626/742, 3868/1389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3626/742, 3868/1389

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 3626/742,3868/1389

Given fractions are 3626/742,3868/1389

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 3626,3868

Greatest Common Factor of Numerators i.e. GCF of 3626,3868 is 2 .

LCM of Denominators means LCM of 742,1389 as per the given fractions.

LCM of 742,1389 is 1030638 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3626,3868

GCF of Fractions 3626/742,3868/1389 is 2/1030638

2 3626, 3868
1813, 1934

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

Greatest Common Factor of 3626,3868 By Matching Biggest Common Factor Method

Greatest Common Factor of 3626,3868 By Matching Biggest Common Factor Method

Factors of 3626

List of positive integer factors of 3626 that divides 3626 without a remainder.

1,2,7,14,37,49,74,98,259,518,1813,3626

Factors of 3868

List of positive integer factors of 3868 that divides 3868 without a remainder.

1,2,4,967,1934,3868

Greatest Common Factor

We found the factors 3626,3868 . The biggest common factor number is the GCF number.
So the greatest common factor 3626,3868 is 2.

Lets's calculate LCM of 742,1389

Given numbers has no common factors except 1. So, there LCM is their product i.e 1030638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1030638

Therefore, the GCF of Fractions 3626/742,3868/1389 is 2/1030638

Least Common Multiple of 742,1389 with GCF Formula

Least Common Multiple of 742,1389 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 742,1389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,1389) = 1

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

GCF(742,1389) x common factors =1 x 1 = 1

LCM(742,1389) = ( 742 × 1389 ) / 1

LCM(742,1389) = 1030638 / 1

LCM(742,1389) = 1030638


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 3626/742, 3868/1389

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 3626/742, 3868/1389?

Answer: GCF of Numerators as per given numbers 3626/742, 3868/1389 is

GCF of Numerators i.e. for 3626,3868 is 2

LCM of denominators i.e. for 742,1389 is 1030638.

Thus, GCF of Fractions is 2/1030638.Finally, GCF of Fractions for 3626/742, 3868/1389 is 2/1030638.