Online GCD Calculator is useful to find the GCD of 605, 812, 420, 360 quickly. Get the easiest ways to solve the greatest common divisor of 605, 812, 420, 360 i.e 1 in different methods as follows.
Given Input numbers are 605, 812, 420, 360
In the factoring method, we have to find the divisors of all numbers
Divisors of 605 :
The positive integer divisors of 605 that completely divides 605 are.
1, 5, 11, 55, 121, 605
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
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
GCD of numbers is the greatest common divisor
So, the GCD (605, 812, 420, 360) = 1.
Given numbers are 605, 812, 420, 360
The list of prime factors of all numbers are
Prime factors of 605 are 5 x 11 x 11
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 605, 812, 420, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(605, 812) = 491260
GCD(605, 812) = ( 605 x 812 ) / 491260
= 605 / 812
= 605
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
Step3:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
So, Greatest Common Divisor of 605, 812, 420, 360 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 605, 812, 420, 360
The greatest common divisor of numbers 605, 812, 420, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 605, 812, 420, 360 is 1.
1. What is the GCD of 605, 812, 420, 360?
GCD of given numbers 605, 812, 420, 360 is 1
2. How to calculate the greatest common divisor of 605, 812, 420, 360?
We can find the highest common divisor of 605, 812, 420, 360 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 605, 812, 420, 360 i.e 1.
3. How can I use the GCD of 605, 812, 420, 360Calculator?
Out the numbers 605, 812, 420, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.