Online GCD Calculator is useful to find the GCD of 322, 360, 636, 413 quickly. Get the easiest ways to solve the greatest common divisor of 322, 360, 636, 413 i.e 1 in different methods as follows.
Given Input numbers are 322, 360, 636, 413
In the factoring method, we have to find the divisors of all numbers
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 413 :
The positive integer divisors of 413 that completely divides 413 are.
1, 7, 59, 413
GCD of numbers is the greatest common divisor
So, the GCD (322, 360, 636, 413) = 1.
Given numbers are 322, 360, 636, 413
The list of prime factors of all numbers are
Prime factors of 322 are 2 x 7 x 23
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 413 are 7 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 322, 360, 636, 413
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(322, 360) = 57960
GCD(322, 360) = ( 322 x 360 ) / 57960
= 322 / 360
= 322
Step2:
LCM(2, 636) = 636
GCD(2, 636) = ( 2 x 636 ) / 636
= 2 / 636
= 2
Step3:
LCM(2, 413) = 826
GCD(2, 413) = ( 2 x 413 ) / 826
= 2 / 413
= 2
So, Greatest Common Divisor of 322, 360, 636, 413 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 322, 360, 636, 413
The greatest common divisor of numbers 322, 360, 636, 413 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 360, 636, 413 is 1.
1. What is the GCD of 322, 360, 636, 413?
GCD of given numbers 322, 360, 636, 413 is 1
2. How to calculate the greatest common divisor of 322, 360, 636, 413?
We can find the highest common divisor of 322, 360, 636, 413 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 322, 360, 636, 413 i.e 1.
3. How can I use the GCD of 322, 360, 636, 413Calculator?
Out the numbers 322, 360, 636, 413 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.