Greatest Common Factor of 3708/545, 6303/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3708/545, 6303/187

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 3708/545,6303/187

Given fractions are 3708/545,6303/187

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 3708,6303

Greatest Common Factor of Numerators i.e. GCF of 3708,6303 is 3 .

LCM of Denominators means LCM of 545,187 as per the given fractions.

LCM of 545,187 is 101915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3708,6303

GCF of Fractions 3708/545,6303/187 is 3/101915

3 3708, 6303
1236, 2101

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3708,6303 By Matching Biggest Common Factor Method

Greatest Common Factor of 3708,6303 By Matching Biggest Common Factor Method

Factors of 3708

List of positive integer factors of 3708 that divides 3708 without a remainder.

1,2,3,4,6,9,12,18,36,103,206,309,412,618,927,1236,1854,3708

Factors of 6303

List of positive integer factors of 6303 that divides 6303 without a remainder.

1,3,11,33,191,573,2101,6303

Greatest Common Factor

We found the factors 3708,6303 . The biggest common factor number is the GCF number.
So the greatest common factor 3708,6303 is 3.

Lets's calculate LCM of 545,187

Given numbers has no common factors except 1. So, there LCM is their product i.e 101915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/101915

Therefore, the GCF of Fractions 3708/545,6303/187 is 3/101915

Least Common Multiple of 545,187 with GCF Formula

Least Common Multiple of 545,187 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 545,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,187) = 1

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

GCF(545,187) x common factors =1 x 1 = 1

LCM(545,187) = ( 545 × 187 ) / 1

LCM(545,187) = 101915 / 1

LCM(545,187) = 101915


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 3708/545, 6303/187

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 3708/545, 6303/187?

Answer: GCF of Numerators as per given numbers 3708/545, 6303/187 is

GCF of Numerators i.e. for 3708,6303 is 3

LCM of denominators i.e. for 545,187 is 101915.

Thus, GCF of Fractions is 3/101915.Finally, GCF of Fractions for 3708/545, 6303/187 is 3/101915.