Greatest Common Factor of 3614/389, 8123/8109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3614/389, 8123/8109

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 3614/389,8123/8109

Given fractions are 3614/389,8123/8109

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 3614,8123

Greatest Common Factor of Numerators i.e. GCF of 3614,8123 is 1 .

LCM of Denominators means LCM of 389,8109 as per the given fractions.

LCM of 389,8109 is 3154401 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3614,8123

GCF of Fractions 3614/389,8123/8109 is 1/3154401

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

Greatest Common Factor of 3614,8123 By Matching Biggest Common Factor Method

Greatest Common Factor of 3614,8123 By Matching Biggest Common Factor Method

Factors of 3614

List of positive integer factors of 3614 that divides 3614 without a remainder.

1,2,13,26,139,278,1807,3614

Factors of 8123

List of positive integer factors of 8123 that divides 8123 without a remainder.

1,8123

Greatest Common Factor

We found the factors 3614,8123 . The biggest common factor number is the GCF number.
So the greatest common factor 3614,8123 is 1.

Lets's calculate LCM of 389,8109

Given numbers has no common factors except 1. So, there LCM is their product i.e 3154401

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3154401

Therefore, the GCF of Fractions 3614/389,8123/8109 is 1/3154401

Least Common Multiple of 389,8109 with GCF Formula

Least Common Multiple of 389,8109 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 389,8109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,8109) = 1

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

GCF(389,8109) x common factors =1 x 1 = 1

LCM(389,8109) = ( 389 × 8109 ) / 1

LCM(389,8109) = 3154401 / 1

LCM(389,8109) = 3154401


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 3614/389, 8123/8109

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 3614/389, 8123/8109?

Answer: GCF of Numerators as per given numbers 3614/389, 8123/8109 is

GCF of Numerators i.e. for 3614,8123 is 1

LCM of denominators i.e. for 389,8109 is 3154401.

Thus, GCF of Fractions is 1/3154401.Finally, GCF of Fractions for 3614/389, 8123/8109 is 1/3154401.