How to Find GCF of 22/606, 33/647, 290/131?

GCF of 22/606, 33/647, 290/131

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 22/606, 33/647, 290/131 i.e 1/51362742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/606, 33/647, 290/131.

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 22/606,33/647,290/131?

Given fractions are 22/606,33/647,290/131

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 22/606,33/647,290/131, numerators are 22,33,290

Denominators are 606,647,131

The GCF of 22,33,290 is 1 .

LCM of 606,647,131 is 51362742.

The greatest common factor of 22/606,33/647,290/131 = [GCF of 22,33,290]/[LCM of 606,647,131]= 1/51362742

Therefore, the GCF of 22/606,33/647,290/131 is 1/51362742.

Greatest Common Factor of 22,33,290

To find the highest common factor of 22,33,290, we have to find the factors of both numbers and list the highest common factor.

The factors of 22 are 1, 2, 11, 22

The factors of 33 are 1, 3, 11, 33

The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290

The HCF of 22,33,290 is 1.

Lets's calculate GCF of 22,33,290

Greatest Common Factor (GCF) of 22,33,290 By Common Division

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

Greatest Common Factor of 22,33,290 By Matching Biggest Common Factor Method

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 33

1,3,11,33

Now, list down the factors of 290

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 22,33,290 . The biggest common factor number is the GCF number.
So the greatest common factor 22,33,290 is 1.

Lets's calculate LCM of 606,647,131

Lowest Common Multiple of 606,647,131 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 51362742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51362742

Therefore, the GCF of Fractions 22/606,33/647,290/131 is 1/51362742

Least Common Multiple of 606,647,131 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 606,647,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(606,647,131) = 1

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

GCF(606,647,131) x common factors =1 x 1 = 1

LCM(606,647,131) = ( 606 × 647 × 131 ) / 1

LCM(606,647,131) = 51362742 / 1

LCM(606,647,131) = 51362742

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 22/606, 33/647, 290/131

1. What is the HCF of 22,33,290?

The HCF of 22,33,290 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 22/606, 33/647, 290/131?

Answer: GCF of Numerators as per given numbers 22/606, 33/647, 290/131 is

GCF of Numerators i.e. for 22,33,290 is 1

LCM of denominators i.e. for 606,647,131 is 51362742.

Thus, GCF of Fractions is 1/51362742.Finally, GCF of Fractions for 22/606, 33/647, 290/131 is 1/51362742.