Online GCD Calculator is useful to find the GCD of 360, 122, 62, 905 quickly. Get the easiest ways to solve the greatest common divisor of 360, 122, 62, 905 i.e 1 in different methods as follows.
Given Input numbers are 360, 122, 62, 905
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 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 62 :
The positive integer divisors of 62 that completely divides 62 are.
1, 2, 31, 62
Divisors of 905 :
The positive integer divisors of 905 that completely divides 905 are.
1, 5, 181, 905
GCD of numbers is the greatest common divisor
So, the GCD (360, 122, 62, 905) = 1.
Given numbers are 360, 122, 62, 905
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 122 are 2 x 61
Prime factors of 62 are 2 x 31
Prime factors of 905 are 5 x 181
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 122, 62, 905
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 122) = 21960
GCD(360, 122) = ( 360 x 122 ) / 21960
= 360 / 122
= 360
Step2:
LCM(2, 62) = 62
GCD(2, 62) = ( 2 x 62 ) / 62
= 2 / 62
= 2
Step3:
LCM(2, 905) = 1810
GCD(2, 905) = ( 2 x 905 ) / 1810
= 2 / 905
= 2
So, Greatest Common Divisor of 360, 122, 62, 905 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 122, 62, 905
The greatest common divisor of numbers 360, 122, 62, 905 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 122, 62, 905 is 1.
1. What is the GCD of 360, 122, 62, 905?
GCD of given numbers 360, 122, 62, 905 is 1
2. How to calculate the greatest common divisor of 360, 122, 62, 905?
We can find the highest common divisor of 360, 122, 62, 905 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, 122, 62, 905 i.e 1.
3. How can I use the GCD of 360, 122, 62, 905Calculator?
Out the numbers 360, 122, 62, 905 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.