Greatest Common Factor of 655/217, 4311/9783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 655/217, 4311/9783

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 655/217,4311/9783

Given fractions are 655/217,4311/9783

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 655,4311

Greatest Common Factor of Numerators i.e. GCF of 655,4311 is 1 .

LCM of Denominators means LCM of 217,9783 as per the given fractions.

LCM of 217,9783 is 2122911 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 655,4311

GCF of Fractions 655/217,4311/9783 is 1/2122911

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

Greatest Common Factor of 655,4311 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,4311 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 4311

List of positive integer factors of 4311 that divides 4311 without a remainder.

1,3,9,479,1437,4311

Greatest Common Factor

We found the factors 655,4311 . The biggest common factor number is the GCF number.
So the greatest common factor 655,4311 is 1.

Lets's calculate LCM of 217,9783

Given numbers has no common factors except 1. So, there LCM is their product i.e 2122911

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2122911

Therefore, the GCF of Fractions 655/217,4311/9783 is 1/2122911

Least Common Multiple of 217,9783 with GCF Formula

Least Common Multiple of 217,9783 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 217,9783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,9783) = 1

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

GCF(217,9783) x common factors =1 x 1 = 1

LCM(217,9783) = ( 217 × 9783 ) / 1

LCM(217,9783) = 2122911 / 1

LCM(217,9783) = 2122911


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 655/217, 4311/9783

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 655/217, 4311/9783?

Answer: GCF of Numerators as per given numbers 655/217, 4311/9783 is

GCF of Numerators i.e. for 655,4311 is 1

LCM of denominators i.e. for 217,9783 is 2122911.

Thus, GCF of Fractions is 1/2122911.Finally, GCF of Fractions for 655/217, 4311/9783 is 1/2122911.