GCF of 339/59, 678/75, 205/477
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 339/59, 678/75, 205/477 i.e 1/703575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 339/59, 678/75, 205/477.
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 339/59,678/75,205/477?
Given fractions are 339/59,678/75,205/477
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 339/59,678/75,205/477, numerators are 339,678,205
Denominators are 59,75,477
The GCF of 339,678,205 is 1 .
LCM of 59,75,477 is 703575.
The greatest common factor of 339/59,678/75,205/477 = [GCF of 339,678,205]/[LCM of 59,75,477]= 1/703575
Therefore, the GCF of 339/59,678/75,205/477 is 1/703575.
To find the highest common factor of 339,678,205, we have to find the factors of both numbers and list the highest common factor.
The factors of 339 are 1, 3, 113, 339
The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678
The factors of 205 are 1, 5, 41, 205
The HCF of 339,678,205 is 1.
Lets's calculate GCF of 339,678,205
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 339,678,205 By Matching Biggest Common Factor Method
Now, list down the factors of 339
:1,3,113,339
Now, list down the factors of 678
:1,2,3,6,113,226,339,678
Now, list down the factors of 205
:1,5,41,205
Greatest Common Factor
We found the factors 339,678,205 . The biggest common factor number is the GCF number.
So the greatest common factor 339,678,205 is 1.
Lets's calculate LCM of 59,75,477
| 3 | 59, 75, 477 |
| 59, 25, 159 |
∴ So the LCM of the given numbers is 3 x 59 x 25 x 159 = 703575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/703575
Therefore, the GCF of Fractions 339/59,678/75,205/477 is 1/703575
Least Common Multiple of 59,75,477 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 59,75,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,75,477) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(59,75,477) x common factors =1 x 3 = 3
LCM(59,75,477) = ( 59 × 75 × 477 ) / 3
LCM(59,75,477) = 2110725 / 3
LCM(59,75,477) = 703575
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 339/59, 678/75, 205/477
1. What is the HCF of 339,678,205?
The HCF of 339,678,205 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 339/59, 678/75, 205/477?
Answer: GCF of Numerators as per given numbers 339/59, 678/75, 205/477 is
GCF of Numerators i.e. for 339,678,205 is 1
LCM of denominators i.e. for 59,75,477 is 703575.
Thus, GCF of Fractions is 1/703575.Finally, GCF of Fractions for 339/59, 678/75, 205/477 is 1/703575.