Greatest Common Factor of 1638/297, 5595/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1638/297, 5595/215

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 1638/297,5595/215

Given fractions are 1638/297,5595/215

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 1638,5595

Greatest Common Factor of Numerators i.e. GCF of 1638,5595 is 3 .

LCM of Denominators means LCM of 297,215 as per the given fractions.

LCM of 297,215 is 63855 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1638,5595

GCF of Fractions 1638/297,5595/215 is 3/63855

3 1638, 5595
546, 1865

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

Greatest Common Factor of 1638,5595 By Matching Biggest Common Factor Method

Greatest Common Factor of 1638,5595 By Matching Biggest Common Factor Method

Factors of 1638

List of positive integer factors of 1638 that divides 1638 without a remainder.

1,2,3,6,7,9,13,14,18,21,26,39,42,63,78,91,117,126,182,234,273,546,819,1638

Factors of 5595

List of positive integer factors of 5595 that divides 5595 without a remainder.

1,3,5,15,373,1119,1865,5595

Greatest Common Factor

We found the factors 1638,5595 . The biggest common factor number is the GCF number.
So the greatest common factor 1638,5595 is 3.

Lets's calculate LCM of 297,215

Given numbers has no common factors except 1. So, there LCM is their product i.e 63855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/63855

Therefore, the GCF of Fractions 1638/297,5595/215 is 3/63855

Least Common Multiple of 297,215 with GCF Formula

Least Common Multiple of 297,215 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 297,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,215) = 1

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

GCF(297,215) x common factors =1 x 1 = 1

LCM(297,215) = ( 297 × 215 ) / 1

LCM(297,215) = 63855 / 1

LCM(297,215) = 63855


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 1638/297, 5595/215

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 1638/297, 5595/215?

Answer: GCF of Numerators as per given numbers 1638/297, 5595/215 is

GCF of Numerators i.e. for 1638,5595 is 3

LCM of denominators i.e. for 297,215 is 63855.

Thus, GCF of Fractions is 3/63855.Finally, GCF of Fractions for 1638/297, 5595/215 is 3/63855.