Greatest Common Factor of 217/43, 341/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 217/43, 341/447

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 217/43,341/447

Given fractions are 217/43,341/447

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 217,341

Greatest Common Factor of Numerators i.e. GCF of 217,341 is 31 .

LCM of Denominators means LCM of 43,447 as per the given fractions.

LCM of 43,447 is 19221 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 217,341

GCF of Fractions 217/43,341/447 is 31/19221

31 217, 341
7, 11

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 217,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,341 By Matching Biggest Common Factor Method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors 217,341 . The biggest common factor number is the GCF number.
So the greatest common factor 217,341 is 31.


Lets's calculate LCM of 43,447

Given numbers has no common factors except 1. So, there LCM is their product i.e 19221

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/19221

Therefore, the GCF of Fractions 217/43,341/447 is 31/19221

Least Common Multiple of 43,447 with GCF Formula

Least Common Multiple of 43,447 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 43,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,447) = 1

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

GCF(43,447) x common factors =1 x 1 = 1

LCM(43,447) = ( 43 × 447 ) / 1

LCM(43,447) = 19221 / 1

LCM(43,447) = 19221


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 217/43, 341/447

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 217/43, 341/447?

Answer: GCF of Numerators as per given numbers 217/43, 341/447 is

GCF of Numerators i.e. for 217,341 is 31

LCM of denominators i.e. for 43,447 is 19221.

Thus, GCF of Fractions is 31/19221.Finally, GCF of Fractions for 217/43, 341/447 is 31/19221.