Greatest Common Factor of 3618/15, 6077/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3618/15, 6077/134

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 3618/15,6077/134

Given fractions are 3618/15,6077/134

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 3618,6077

Greatest Common Factor of Numerators i.e. GCF of 3618,6077 is 1 .

LCM of Denominators means LCM of 15,134 as per the given fractions.

LCM of 15,134 is 2010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3618,6077

GCF of Fractions 3618/15,6077/134 is 1/2010

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

Greatest Common Factor of 3618,6077 By Matching Biggest Common Factor Method

Greatest Common Factor of 3618,6077 By Matching Biggest Common Factor Method

Factors of 3618

List of positive integer factors of 3618 that divides 3618 without a remainder.

1,2,3,6,9,18,27,54,67,134,201,402,603,1206,1809,3618

Factors of 6077

List of positive integer factors of 6077 that divides 6077 without a remainder.

1,59,103,6077

Greatest Common Factor

We found the factors 3618,6077 . The biggest common factor number is the GCF number.
So the greatest common factor 3618,6077 is 1.

Lets's calculate LCM of 15,134

Given numbers has no common factors except 1. So, there LCM is their product i.e 2010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2010

Therefore, the GCF of Fractions 3618/15,6077/134 is 1/2010

Least Common Multiple of 15,134 with GCF Formula

Least Common Multiple of 15,134 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 15,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,134) = 1

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

GCF(15,134) x common factors =1 x 1 = 1

LCM(15,134) = ( 15 × 134 ) / 1

LCM(15,134) = 2010 / 1

LCM(15,134) = 2010


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 3618/15, 6077/134

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 3618/15, 6077/134?

Answer: GCF of Numerators as per given numbers 3618/15, 6077/134 is

GCF of Numerators i.e. for 3618,6077 is 1

LCM of denominators i.e. for 15,134 is 2010.

Thus, GCF of Fractions is 1/2010.Finally, GCF of Fractions for 3618/15, 6077/134 is 1/2010.