Online GCD Calculator is useful to find the GCD of 106, 122, 180, 221 quickly. Get the easiest ways to solve the greatest common divisor of 106, 122, 180, 221 i.e 1 in different methods as follows.
Given Input numbers are 106, 122, 180, 221
In the factoring method, we have to find the divisors of all numbers
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
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 (106, 122, 180, 221) = 1.
Given numbers are 106, 122, 180, 221
The list of prime factors of all numbers are
Prime factors of 106 are 2 x 53
Prime factors of 122 are 2 x 61
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 106, 122, 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(106, 122) = 6466
GCD(106, 122) = ( 106 x 122 ) / 6466
= 106 / 122
= 106
Step2:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
Step3:
LCM(2, 221) = 442
GCD(2, 221) = ( 2 x 221 ) / 442
= 2 / 221
= 2
So, Greatest Common Divisor of 106, 122, 180, 221 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 106, 122, 180, 221
The greatest common divisor of numbers 106, 122, 180, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 122, 180, 221 is 1.
1. What is the GCD of 106, 122, 180, 221?
GCD of given numbers 106, 122, 180, 221 is 1
2. How to calculate the greatest common divisor of 106, 122, 180, 221?
We can find the highest common divisor of 106, 122, 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 106, 122, 180, 221 i.e 1.
3. How can I use the GCD of 106, 122, 180, 221Calculator?
Out the numbers 106, 122, 180, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.