Greatest Common Factor of 6649/217, 2754/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6649/217, 2754/397

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 6649/217,2754/397

Given fractions are 6649/217,2754/397

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 6649,2754

Greatest Common Factor of Numerators i.e. GCF of 6649,2754 is 1 .

LCM of Denominators means LCM of 217,397 as per the given fractions.

LCM of 217,397 is 86149 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6649,2754

GCF of Fractions 6649/217,2754/397 is 1/86149

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

Greatest Common Factor of 6649,2754 By Matching Biggest Common Factor Method

Greatest Common Factor of 6649,2754 By Matching Biggest Common Factor Method

Factors of 6649

List of positive integer factors of 6649 that divides 6649 without a remainder.

1,61,109,6649

Factors of 2754

List of positive integer factors of 2754 that divides 2754 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,306,459,918,1377,2754

Greatest Common Factor

We found the factors 6649,2754 . The biggest common factor number is the GCF number.
So the greatest common factor 6649,2754 is 1.

Lets's calculate LCM of 217,397

Given numbers has no common factors except 1. So, there LCM is their product i.e 86149

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86149

Therefore, the GCF of Fractions 6649/217,2754/397 is 1/86149

Least Common Multiple of 217,397 with GCF Formula

Least Common Multiple of 217,397 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 217,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,397) = 1

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

GCF(217,397) x common factors =1 x 1 = 1

LCM(217,397) = ( 217 × 397 ) / 1

LCM(217,397) = 86149 / 1

LCM(217,397) = 86149


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 6649/217, 2754/397

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 6649/217, 2754/397?

Answer: GCF of Numerators as per given numbers 6649/217, 2754/397 is

GCF of Numerators i.e. for 6649,2754 is 1

LCM of denominators i.e. for 217,397 is 86149.

Thus, GCF of Fractions is 1/86149.Finally, GCF of Fractions for 6649/217, 2754/397 is 1/86149.