Online GCD Calculator is useful to find the GCD of 222, 912, 180, 221 quickly. Get the easiest ways to solve the greatest common divisor of 222, 912, 180, 221 i.e 1 in different methods as follows.
Given Input numbers are 222, 912, 180, 221
In the factoring method, we have to find the divisors of all numbers
Divisors of 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
GCD of numbers is the greatest common divisor
So, the GCD (222, 912, 180, 221) = 1.
Given numbers are 222, 912, 180, 221
The list of prime factors of all numbers are
Prime factors of 222 are 2 x 3 x 37
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 221 are 13 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 222, 912, 180, 221
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(222, 912) = 33744
GCD(222, 912) = ( 222 x 912 ) / 33744
= 222 / 912
= 222
Step2:
LCM(6, 180) = 180
GCD(6, 180) = ( 6 x 180 ) / 180
= 6 / 180
= 6
Step3:
LCM(6, 221) = 1326
GCD(6, 221) = ( 6 x 221 ) / 1326
= 6 / 221
= 6
So, Greatest Common Divisor of 222, 912, 180, 221 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 222, 912, 180, 221
The greatest common divisor of numbers 222, 912, 180, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 222, 912, 180, 221 is 1.
1. What is the GCD of 222, 912, 180, 221?
GCD of given numbers 222, 912, 180, 221 is 1
2. How to calculate the greatest common divisor of 222, 912, 180, 221?
We can find the highest common divisor of 222, 912, 180, 221 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 222, 912, 180, 221 i.e 1.
3. How can I use the GCD of 222, 912, 180, 221Calculator?
Out the numbers 222, 912, 180, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.