GCF of 339/128, 514/290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 339/128, 514/290 i.e 1/18560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 339/128, 514/290.
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 339/128,514/290?
Given fractions are 339/128,514/290
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 339/128,514/290, numerators are 339,514
Denominators are 128,290
The GCF of 339,514 is 1 .
LCM of 128,290 is 18560.
The greatest common factor of 339/128,514/290 = [GCF of 339,514]/[LCM of 128,290]= 1/18560
Therefore, the GCF of 339/128,514/290 is 1/18560.
To find the highest common factor of 339,514, 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 514 are 1, 2, 257, 514
The HCF of 339,514 is 1.
Lets's calculate GCF of 339,514
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 339,514 By Matching Biggest Common Factor Method
Now, list down the factors of 339
:1,3,113,339
Now, list down the factors of 514
:1,2,257,514
Greatest Common Factor
We found the factors 339,514 . The biggest common factor number is the GCF number.
So the greatest common factor 339,514 is 1.
Lets's calculate LCM of 128,290
| 2 | 128, 290 |
| 64, 145 |
∴ So the LCM of the given numbers is 2 x 64 x 145 = 18560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18560
Therefore, the GCF of Fractions 339/128,514/290 is 1/18560
Least Common Multiple of 128,290 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 128,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,290) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(128,290) x common factors =2 x 1 = 2
LCM(128,290) = ( 128 × 290 ) / 2
LCM(128,290) = 37120 / 2
LCM(128,290) = 18560
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FAQs on GCF of Fractions of 339/128, 514/290
1. What is the HCF of 339,514?
The HCF of 339,514 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 339/128, 514/290?
Answer: GCF of Numerators as per given numbers 339/128, 514/290 is
GCF of Numerators i.e. for 339,514 is 1
LCM of denominators i.e. for 128,290 is 18560.
Thus, GCF of Fractions is 1/18560.Finally, GCF of Fractions for 339/128, 514/290 is 1/18560.