Online GCD Calculator is useful to find the GCD of 393, 540, 299, 660 quickly. Get the easiest ways to solve the greatest common divisor of 393, 540, 299, 660 i.e 1 in different methods as follows.
Given Input numbers are 393, 540, 299, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (393, 540, 299, 660) = 1.
Given numbers are 393, 540, 299, 660
The list of prime factors of all numbers are
Prime factors of 393 are 3 x 131
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 299 are 13 x 23
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 393, 540, 299, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(393, 540) = 70740
GCD(393, 540) = ( 393 x 540 ) / 70740
= 393 / 540
= 393
Step2:
LCM(3, 299) = 897
GCD(3, 299) = ( 3 x 299 ) / 897
= 3 / 299
= 3
Step3:
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
= 1 / 660
= 1
So, Greatest Common Divisor of 393, 540, 299, 660 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 393, 540, 299, 660
The greatest common divisor of numbers 393, 540, 299, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 393, 540, 299, 660 is 1.
1. What is the GCD of 393, 540, 299, 660?
GCD of given numbers 393, 540, 299, 660 is 1
2. How to calculate the greatest common divisor of 393, 540, 299, 660?
We can find the highest common divisor of 393, 540, 299, 660 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 393, 540, 299, 660 i.e 1.
3. How can I use the GCD of 393, 540, 299, 660Calculator?
Out the numbers 393, 540, 299, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.