Online GCD Calculator is useful to find the GCD of 360, 362, 565, 461 quickly. Get the easiest ways to solve the greatest common divisor of 360, 362, 565, 461 i.e 1 in different methods as follows.
Given Input numbers are 360, 362, 565, 461
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 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 565 :
The positive integer divisors of 565 that completely divides 565 are.
1, 5, 113, 565
Divisors of 461 :
The positive integer divisors of 461 that completely divides 461 are.
1, 461
GCD of numbers is the greatest common divisor
So, the GCD (360, 362, 565, 461) = 1.
Given numbers are 360, 362, 565, 461
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 362 are 2 x 181
Prime factors of 565 are 5 x 113
Prime factors of 461 are 461
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 362, 565, 461
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 362) = 65160
GCD(360, 362) = ( 360 x 362 ) / 65160
= 360 / 362
= 360
Step2:
LCM(2, 565) = 1130
GCD(2, 565) = ( 2 x 565 ) / 1130
= 2 / 565
= 2
Step3:
LCM(1, 461) = 461
GCD(1, 461) = ( 1 x 461 ) / 461
= 1 / 461
= 1
So, Greatest Common Divisor of 360, 362, 565, 461 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 362, 565, 461
The greatest common divisor of numbers 360, 362, 565, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 362, 565, 461 is 1.
1. What is the GCD of 360, 362, 565, 461?
GCD of given numbers 360, 362, 565, 461 is 1
2. How to calculate the greatest common divisor of 360, 362, 565, 461?
We can find the highest common divisor of 360, 362, 565, 461 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, 362, 565, 461 i.e 1.
3. How can I use the GCD of 360, 362, 565, 461Calculator?
Out the numbers 360, 362, 565, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.