GCF of 339/189, 723/621
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 339/189, 723/621 i.e 3/4347 easily. The following is the detailed procedure to determine the greatest common factor of fractions 339/189, 723/621.
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 339/189,723/621?
Given fractions are 339/189,723/621
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 339/189,723/621, numerators are 339,723
Denominators are 189,621
The GCF of 339,723 is 3 .
LCM of 189,621 is 4347.
The greatest common factor of 339/189,723/621 = [GCF of 339,723]/[LCM of 189,621]= 3/4347
Therefore, the GCF of 339/189,723/621 is 3/4347.
To find the highest common factor of 339,723, 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 723 are 1, 3, 241, 723
The HCF of 339,723 is 3.
Lets's calculate GCF of 339,723
| 3 | 339, 723 |
| 113, 241 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 339,723 By Matching Biggest Common Factor Method
Now, list down the factors of 339
:1,3,113,339
Now, list down the factors of 723
:1,3,241,723
Greatest Common Factor
We found the factors 339,723 . The biggest common factor number is the GCF number.
So the greatest common factor 339,723 is 3.
Lets's calculate LCM of 189,621
| 3 | 189, 621 |
| 3 | 63, 207 |
| 3 | 21, 69 |
| 7, 23 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 7 x 23 = 4347
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4347
Therefore, the GCF of Fractions 339/189,723/621 is 3/4347
Least Common Multiple of 189,621 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 189,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,621) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(189,621) x common factors =27 x 1 = 27
LCM(189,621) = ( 189 × 621 ) / 27
LCM(189,621) = 117369 / 27
LCM(189,621) = 4347
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FAQs on GCF of Fractions of 339/189, 723/621
1. What is the HCF of 339,723?
The HCF of 339,723 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 339/189, 723/621?
Answer: GCF of Numerators as per given numbers 339/189, 723/621 is
GCF of Numerators i.e. for 339,723 is 3
LCM of denominators i.e. for 189,621 is 4347.
Thus, GCF of Fractions is 3/4347.Finally, GCF of Fractions for 339/189, 723/621 is 3/4347.