Greatest Common Factor of 221/170, 340/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 221/170, 340/222

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 221/170,340/222

Given fractions are 221/170,340/222

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 221,340

Greatest Common Factor of Numerators i.e. GCF of 221,340 is 17 .

LCM of Denominators means LCM of 170,222 as per the given fractions.

LCM of 170,222 is 18870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 221,340

GCF of Fractions 221/170,340/222 is 17/18870

17 221, 340
13, 20

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 221,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,340 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 221,340 . The biggest common factor number is the GCF number.
So the greatest common factor 221,340 is 17.

Lets's calculate LCM of 170,222

2 170, 222
85, 111

∴ So the LCM of the given numbers is 2 x 85 x 111 = 18870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/18870

Therefore, the GCF of Fractions 221/170,340/222 is 17/18870

Least Common Multiple of 170,222 with GCF Formula

Least Common Multiple of 170,222 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 170,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,222) = 2

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

GCF(170,222) x common factors =2 x 1 = 2

LCM(170,222) = ( 170 × 222 ) / 2

LCM(170,222) = 37740 / 2

LCM(170,222) = 18870


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 221/170, 340/222

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 221/170, 340/222?

Answer: GCF of Numerators as per given numbers 221/170, 340/222 is

GCF of Numerators i.e. for 221,340 is 17

LCM of denominators i.e. for 170,222 is 18870.

Thus, GCF of Fractions is 17/18870.Finally, GCF of Fractions for 221/170, 340/222 is 17/18870.