Online GCD Calculator is useful to find the GCD of 360, 205, 662, 312 quickly. Get the easiest ways to solve the greatest common divisor of 360, 205, 662, 312 i.e 1 in different methods as follows.
Given Input numbers are 360, 205, 662, 312
In the factoring method, we have to find the divisors of all numbers
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 205 :
The positive integer divisors of 205 that completely divides 205 are.
1, 5, 41, 205
Divisors of 662 :
The positive integer divisors of 662 that completely divides 662 are.
1, 2, 331, 662
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (360, 205, 662, 312) = 1.
Given numbers are 360, 205, 662, 312
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 205 are 5 x 41
Prime factors of 662 are 2 x 331
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 205, 662, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 205) = 14760
GCD(360, 205) = ( 360 x 205 ) / 14760
= 360 / 205
= 360
Step2:
LCM(5, 662) = 3310
GCD(5, 662) = ( 5 x 662 ) / 3310
= 5 / 662
= 5
Step3:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
So, Greatest Common Divisor of 360, 205, 662, 312 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 205, 662, 312
The greatest common divisor of numbers 360, 205, 662, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 205, 662, 312 is 1.
1. What is the GCD of 360, 205, 662, 312?
GCD of given numbers 360, 205, 662, 312 is 1
2. How to calculate the greatest common divisor of 360, 205, 662, 312?
We can find the highest common divisor of 360, 205, 662, 312 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 360, 205, 662, 312 i.e 1.
3. How can I use the GCD of 360, 205, 662, 312Calculator?
Out the numbers 360, 205, 662, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.