Online GCD Calculator is useful to find the GCD of 360, 974, 585, 362 quickly. Get the easiest ways to solve the greatest common divisor of 360, 974, 585, 362 i.e 1 in different methods as follows.
Given Input numbers are 360, 974, 585, 362
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 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
GCD of numbers is the greatest common divisor
So, the GCD (360, 974, 585, 362) = 1.
Given numbers are 360, 974, 585, 362
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 974 are 2 x 487
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 362 are 2 x 181
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 974, 585, 362
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 974) = 175320
GCD(360, 974) = ( 360 x 974 ) / 175320
= 360 / 974
= 360
Step2:
LCM(2, 585) = 1170
GCD(2, 585) = ( 2 x 585 ) / 1170
= 2 / 585
= 2
Step3:
LCM(1, 362) = 362
GCD(1, 362) = ( 1 x 362 ) / 362
= 1 / 362
= 1
So, Greatest Common Divisor of 360, 974, 585, 362 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 974, 585, 362
The greatest common divisor of numbers 360, 974, 585, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 974, 585, 362 is 1.
1. What is the GCD of 360, 974, 585, 362?
GCD of given numbers 360, 974, 585, 362 is 1
2. How to calculate the greatest common divisor of 360, 974, 585, 362?
We can find the highest common divisor of 360, 974, 585, 362 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, 974, 585, 362 i.e 1.
3. How can I use the GCD of 360, 974, 585, 362Calculator?
Out the numbers 360, 974, 585, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.