GCF of 396/16, 407/960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 396/16, 407/960 i.e 11/960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 396/16, 407/960.
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 396/16,407/960?
Given fractions are 396/16,407/960
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 396/16,407/960, numerators are 396,407
Denominators are 16,960
The GCF of 396,407 is 11 .
LCM of 16,960 is 960.
The greatest common factor of 396/16,407/960 = [GCF of 396,407]/[LCM of 16,960]= 11/960
Therefore, the GCF of 396/16,407/960 is 11/960.
To find the highest common factor of 396,407, we have to find the factors of both numbers and list the highest common factor.
The factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
The factors of 407 are 1, 11, 37, 407
The HCF of 396,407 is 11.
Lets's calculate GCF of 396,407
| 11 | 396, 407 |
| 36, 37 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 396,407 By Matching Biggest Common Factor Method
Now, list down the factors of 396
:1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Now, list down the factors of 407
:1,11,37,407
Greatest Common Factor
We found the factors 396,407 . The biggest common factor number is the GCF number.
So the greatest common factor 396,407 is 11.
Lets's calculate LCM of 16,960
| 2 | 16, 960 |
| 2 | 8, 480 |
| 2 | 4, 240 |
| 2 | 2, 120 |
| 1, 60 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 60 = 960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/960
Therefore, the GCF of Fractions 396/16,407/960 is 11/960
Least Common Multiple of 16,960 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 16,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,960) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(16,960) x common factors =16 x 1 = 16
LCM(16,960) = ( 16 × 960 ) / 16
LCM(16,960) = 15360 / 16
LCM(16,960) = 960
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 396/16, 407/960
1. What is the HCF of 396,407?
The HCF of 396,407 is 11
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 396/16, 407/960?
Answer: GCF of Numerators as per given numbers 396/16, 407/960 is
GCF of Numerators i.e. for 396,407 is 11
LCM of denominators i.e. for 16,960 is 960.
Thus, GCF of Fractions is 11/960.Finally, GCF of Fractions for 396/16, 407/960 is 11/960.