GCF of 39/582, 18/339, 114/367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 39/582, 18/339, 114/367 i.e 3/24136122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/582, 18/339, 114/367.
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 39/582,18/339,114/367?
Given fractions are 39/582,18/339,114/367
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 39/582,18/339,114/367, numerators are 39,18,114
Denominators are 582,339,367
The GCF of 39,18,114 is 3 .
LCM of 582,339,367 is 24136122.
The greatest common factor of 39/582,18/339,114/367 = [GCF of 39,18,114]/[LCM of 582,339,367]= 3/24136122
Therefore, the GCF of 39/582,18/339,114/367 is 3/24136122.
To find the highest common factor of 39,18,114, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114
The HCF of 39,18,114 is 3.
Lets's calculate GCF of 39,18,114
| 3 | 39, 18, 114 |
| 13, 6, 38 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 39,18,114 By Matching Biggest Common Factor Method
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 114
:1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 39,18,114 . The biggest common factor number is the GCF number.
So the greatest common factor 39,18,114 is 3.
Lets's calculate LCM of 582,339,367
| 3 | 582, 339, 367 |
| 194, 113, 367 |
∴ So the LCM of the given numbers is 3 x 194 x 113 x 367 = 24136122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24136122
Therefore, the GCF of Fractions 39/582,18/339,114/367 is 3/24136122
Least Common Multiple of 582,339,367 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 582,339,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,339,367) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(582,339,367) x common factors =1 x 3 = 3
LCM(582,339,367) = ( 582 × 339 × 367 ) / 3
LCM(582,339,367) = 72408366 / 3
LCM(582,339,367) = 24136122
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 39/582, 18/339, 114/367
1. What is the HCF of 39,18,114?
The HCF of 39,18,114 is 3
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 39/582, 18/339, 114/367?
Answer: GCF of Numerators as per given numbers 39/582, 18/339, 114/367 is
GCF of Numerators i.e. for 39,18,114 is 3
LCM of denominators i.e. for 582,339,367 is 24136122.
Thus, GCF of Fractions is 3/24136122.Finally, GCF of Fractions for 39/582, 18/339, 114/367 is 3/24136122.