How to Find GCF of 17/220, 35/438, 222/381?

GCF of 17/220, 35/438, 222/381

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 17/220, 35/438, 222/381 i.e 1/6118860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/220, 35/438, 222/381.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 17/220,35/438,222/381?

Given fractions are 17/220,35/438,222/381

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 17/220,35/438,222/381, numerators are 17,35,222

Denominators are 220,438,381

The GCF of 17,35,222 is 1 .

LCM of 220,438,381 is 6118860.

The greatest common factor of 17/220,35/438,222/381 = [GCF of 17,35,222]/[LCM of 220,438,381]= 1/6118860

Therefore, the GCF of 17/220,35/438,222/381 is 1/6118860.

Greatest Common Factor of 17,35,222

To find the highest common factor of 17,35,222, we have to find the factors of both numbers and list the highest common factor.

The factors of 17 are 1, 17

The factors of 35 are 1, 5, 7, 35

The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222

The HCF of 17,35,222 is 1.

Lets's calculate GCF of 17,35,222

Greatest Common Factor (GCF) of 17,35,222 By Common Division

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

Greatest Common Factor of 17,35,222 By Matching Biggest Common Factor Method

Now, list down the factors of 17

1,17

Now, list down the factors of 35

1,5,7,35

Now, list down the factors of 222

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 17,35,222 . The biggest common factor number is the GCF number.
So the greatest common factor 17,35,222 is 1.

Lets's calculate LCM of 220,438,381

Lowest Common Multiple of 220,438,381 using Common Division

2	220, 438, 381
3	110, 219, 381
	110, 73, 127

∴ So the LCM of the given numbers is 2 x 3 x 110 x 73 x 127 = 6118860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6118860

Therefore, the GCF of Fractions 17/220,35/438,222/381 is 1/6118860

Least Common Multiple of 220,438,381 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 220,438,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,438,381) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(220,438,381) x common factors =1 x 6 = 6

LCM(220,438,381) = ( 220 × 438 × 381 ) / 6

LCM(220,438,381) = 36713160 / 6

LCM(220,438,381) = 6118860

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 17/220, 35/438, 222/381

1. What is the HCF of 17,35,222?

The HCF of 17,35,222 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 17/220, 35/438, 222/381?

Answer: GCF of Numerators as per given numbers 17/220, 35/438, 222/381 is

GCF of Numerators i.e. for 17,35,222 is 1

LCM of denominators i.e. for 220,438,381 is 6118860.

Thus, GCF of Fractions is 1/6118860.Finally, GCF of Fractions for 17/220, 35/438, 222/381 is 1/6118860.