GCF of 339/644, 678/431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 339/644, 678/431 i.e 339/277564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 339/644, 678/431.
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 339/644,678/431?
Given fractions are 339/644,678/431
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 339/644,678/431, numerators are 339,678
Denominators are 644,431
The GCF of 339,678 is 339 .
LCM of 644,431 is 277564.
The greatest common factor of 339/644,678/431 = [GCF of 339,678]/[LCM of 644,431]= 339/277564
Therefore, the GCF of 339/644,678/431 is 339/277564.
To find the highest common factor of 339,678, 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 HCF of 339,678 is 339.
Lets's calculate GCF of 339,678
| 3 | 339, 678 |
| 113 | 113, 226 |
| 1, 2 |
∴ So the GCF of the given numbers is 3 x 113 = 339
Greatest Common Factor of 339,678 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
Greatest Common Factor
We found the factors 339,678 . The biggest common factor number is the GCF number.
So the greatest common factor 339,678 is 339.
Lets's calculate LCM of 644,431
Given numbers has no common factors except 1. So, there LCM is their product i.e 277564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 339/277564
Therefore, the GCF of Fractions 339/644,678/431 is 339/277564
Least Common Multiple of 644,431 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 644,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(644,431) x common factors =1 x 1 = 1
LCM(644,431) = ( 644 × 431 ) / 1
LCM(644,431) = 277564 / 1
LCM(644,431) = 277564
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FAQs on GCF of Fractions of 339/644, 678/431
1. What is the HCF of 339,678?
The HCF of 339,678 is 339
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 339/644, 678/431?
Answer: GCF of Numerators as per given numbers 339/644, 678/431 is
GCF of Numerators i.e. for 339,678 is 339
LCM of denominators i.e. for 644,431 is 277564.
Thus, GCF of Fractions is 339/277564.Finally, GCF of Fractions for 339/644, 678/431 is 339/277564.