GCF of 393/320, 510/405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 393/320, 510/405 i.e 3/25920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 393/320, 510/405.
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 393/320,510/405?
Given fractions are 393/320,510/405
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 393/320,510/405, numerators are 393,510
Denominators are 320,405
The GCF of 393,510 is 3 .
LCM of 320,405 is 25920.
The greatest common factor of 393/320,510/405 = [GCF of 393,510]/[LCM of 320,405]= 3/25920
Therefore, the GCF of 393/320,510/405 is 3/25920.
To find the highest common factor of 393,510, 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 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
The HCF of 393,510 is 3.
Lets's calculate GCF of 393,510
| 3 | 393, 510 |
| 131, 170 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 393,510 By Matching Biggest Common Factor Method
Now, list down the factors of 393
:1,3,131,393
Now, list down the factors of 510
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Greatest Common Factor
We found the factors 393,510 . The biggest common factor number is the GCF number.
So the greatest common factor 393,510 is 3.
Lets's calculate LCM of 320,405
| 5 | 320, 405 |
| 64, 81 |
∴ So the LCM of the given numbers is 5 x 64 x 81 = 25920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25920
Therefore, the GCF of Fractions 393/320,510/405 is 3/25920
Least Common Multiple of 320,405 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 320,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,405) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(320,405) x common factors =5 x 1 = 5
LCM(320,405) = ( 320 × 405 ) / 5
LCM(320,405) = 129600 / 5
LCM(320,405) = 25920
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FAQs on GCF of Fractions of 393/320, 510/405
1. What is the HCF of 393,510?
The HCF of 393,510 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 393/320, 510/405?
Answer: GCF of Numerators as per given numbers 393/320, 510/405 is
GCF of Numerators i.e. for 393,510 is 3
LCM of denominators i.e. for 320,405 is 25920.
Thus, GCF of Fractions is 3/25920.Finally, GCF of Fractions for 393/320, 510/405 is 3/25920.