GCF of 34/122, 55/806, 222/393
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/122, 55/806, 222/393 i.e 1/19322238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/122, 55/806, 222/393.
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 34/122,55/806,222/393?
Given fractions are 34/122,55/806,222/393
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 34/122,55/806,222/393, numerators are 34,55,222
Denominators are 122,806,393
The GCF of 34,55,222 is 1 .
LCM of 122,806,393 is 19322238.
The greatest common factor of 34/122,55/806,222/393 = [GCF of 34,55,222]/[LCM of 122,806,393]= 1/19322238
Therefore, the GCF of 34/122,55/806,222/393 is 1/19322238.
To find the highest common factor of 34,55,222, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 55 are 1, 5, 11, 55
The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222
The HCF of 34,55,222 is 1.
Lets's calculate GCF of 34,55,222
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,55,222 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 222
:1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 34,55,222 . The biggest common factor number is the GCF number.
So the greatest common factor 34,55,222 is 1.
Lets's calculate LCM of 122,806,393
| 2 | 122, 806, 393 |
| 61, 403, 393 |
∴ So the LCM of the given numbers is 2 x 61 x 403 x 393 = 19322238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19322238
Therefore, the GCF of Fractions 34/122,55/806,222/393 is 1/19322238
Least Common Multiple of 122,806,393 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 122,806,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,806,393) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(122,806,393) x common factors =1 x 2 = 2
LCM(122,806,393) = ( 122 × 806 × 393 ) / 2
LCM(122,806,393) = 38644476 / 2
LCM(122,806,393) = 19322238
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 34/122, 55/806, 222/393
1. What is the HCF of 34,55,222?
The HCF of 34,55,222 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 34/122, 55/806, 222/393?
Answer: GCF of Numerators as per given numbers 34/122, 55/806, 222/393 is
GCF of Numerators i.e. for 34,55,222 is 1
LCM of denominators i.e. for 122,806,393 is 19322238.
Thus, GCF of Fractions is 1/19322238.Finally, GCF of Fractions for 34/122, 55/806, 222/393 is 1/19322238.