Greatest Common Factor of 648/217, 3635/6387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 648/217, 3635/6387

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 648/217,3635/6387

Given fractions are 648/217,3635/6387

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 648,3635

Greatest Common Factor of Numerators i.e. GCF of 648,3635 is 1 .

LCM of Denominators means LCM of 217,6387 as per the given fractions.

LCM of 217,6387 is 1385979 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 648,3635

GCF of Fractions 648/217,3635/6387 is 1/1385979

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

Greatest Common Factor of 648,3635 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,3635 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 3635

List of positive integer factors of 3635 that divides 3635 without a remainder.

1,5,727,3635

Greatest Common Factor

We found the factors 648,3635 . The biggest common factor number is the GCF number.
So the greatest common factor 648,3635 is 1.

Lets's calculate LCM of 217,6387

Given numbers has no common factors except 1. So, there LCM is their product i.e 1385979

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1385979

Therefore, the GCF of Fractions 648/217,3635/6387 is 1/1385979

Least Common Multiple of 217,6387 with GCF Formula

Least Common Multiple of 217,6387 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 217,6387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,6387) = 1

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

GCF(217,6387) x common factors =1 x 1 = 1

LCM(217,6387) = ( 217 × 6387 ) / 1

LCM(217,6387) = 1385979 / 1

LCM(217,6387) = 1385979


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 648/217, 3635/6387

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 648/217, 3635/6387?

Answer: GCF of Numerators as per given numbers 648/217, 3635/6387 is

GCF of Numerators i.e. for 648,3635 is 1

LCM of denominators i.e. for 217,6387 is 1385979.

Thus, GCF of Fractions is 1/1385979.Finally, GCF of Fractions for 648/217, 3635/6387 is 1/1385979.