Online GCD Calculator is useful to find the GCD of 360, 108, 609, 262 quickly. Get the easiest ways to solve the greatest common divisor of 360, 108, 609, 262 i.e 1 in different methods as follows.
Given Input numbers are 360, 108, 609, 262
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 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 262 :
The positive integer divisors of 262 that completely divides 262 are.
1, 2, 131, 262
GCD of numbers is the greatest common divisor
So, the GCD (360, 108, 609, 262) = 1.
Given numbers are 360, 108, 609, 262
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 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 609 are 3 x 7 x 29
Prime factors of 262 are 2 x 131
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 108, 609, 262
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 108) = 1080
GCD(360, 108) = ( 360 x 108 ) / 1080
= 360 / 108
= 360
Step2:
LCM(36, 609) = 7308
GCD(36, 609) = ( 36 x 609 ) / 7308
= 36 / 609
= 36
Step3:
LCM(3, 262) = 786
GCD(3, 262) = ( 3 x 262 ) / 786
= 3 / 262
= 3
So, Greatest Common Divisor of 360, 108, 609, 262 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 108, 609, 262
The greatest common divisor of numbers 360, 108, 609, 262 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 108, 609, 262 is 1.
1. What is the GCD of 360, 108, 609, 262?
GCD of given numbers 360, 108, 609, 262 is 1
2. How to calculate the greatest common divisor of 360, 108, 609, 262?
We can find the highest common divisor of 360, 108, 609, 262 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, 108, 609, 262 i.e 1.
3. How can I use the GCD of 360, 108, 609, 262Calculator?
Out the numbers 360, 108, 609, 262 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.