GCF of 393/421, 666/384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 393/421, 666/384 i.e 3/161664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 393/421, 666/384.
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 393/421,666/384?
Given fractions are 393/421,666/384
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 393/421,666/384, numerators are 393,666
Denominators are 421,384
The GCF of 393,666 is 3 .
LCM of 421,384 is 161664.
The greatest common factor of 393/421,666/384 = [GCF of 393,666]/[LCM of 421,384]= 3/161664
Therefore, the GCF of 393/421,666/384 is 3/161664.
To find the highest common factor of 393,666, we have to find the factors of both numbers and list the highest common factor.
The factors of 393 are 1, 3, 131, 393
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The HCF of 393,666 is 3.
Lets's calculate GCF of 393,666
| 3 | 393, 666 |
| 131, 222 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 393,666 By Matching Biggest Common Factor Method
Now, list down the factors of 393
:1,3,131,393
Now, list down the factors of 666
:1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 393,666 . The biggest common factor number is the GCF number.
So the greatest common factor 393,666 is 3.
Lets's calculate LCM of 421,384
Given numbers has no common factors except 1. So, there LCM is their product i.e 161664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/161664
Therefore, the GCF of Fractions 393/421,666/384 is 3/161664
Least Common Multiple of 421,384 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 421,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,384) x common factors =1 x 1 = 1
LCM(421,384) = ( 421 × 384 ) / 1
LCM(421,384) = 161664 / 1
LCM(421,384) = 161664
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FAQs on GCF of Fractions of 393/421, 666/384
1. What is the HCF of 393,666?
The HCF of 393,666 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 393/421, 666/384?
Answer: GCF of Numerators as per given numbers 393/421, 666/384 is
GCF of Numerators i.e. for 393,666 is 3
LCM of denominators i.e. for 421,384 is 161664.
Thus, GCF of Fractions is 3/161664.Finally, GCF of Fractions for 393/421, 666/384 is 3/161664.