Online GCD Calculator is useful to find the GCD of 215, 682, 180, 171 quickly. Get the easiest ways to solve the greatest common divisor of 215, 682, 180, 171 i.e 1 in different methods as follows.
Given Input numbers are 215, 682, 180, 171
In the factoring method, we have to find the divisors of all numbers
Divisors of 215 :
The positive integer divisors of 215 that completely divides 215 are.
1, 5, 43, 215
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
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 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
GCD of numbers is the greatest common divisor
So, the GCD (215, 682, 180, 171) = 1.
Given numbers are 215, 682, 180, 171
The list of prime factors of all numbers are
Prime factors of 215 are 5 x 43
Prime factors of 682 are 2 x 11 x 31
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 171 are 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 215, 682, 180, 171
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(215, 682) = 146630
GCD(215, 682) = ( 215 x 682 ) / 146630
= 215 / 682
= 215
Step2:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
Step3:
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
= 1 / 171
= 1
So, Greatest Common Divisor of 215, 682, 180, 171 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 215, 682, 180, 171
The greatest common divisor of numbers 215, 682, 180, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 215, 682, 180, 171 is 1.
1. What is the GCD of 215, 682, 180, 171?
GCD of given numbers 215, 682, 180, 171 is 1
2. How to calculate the greatest common divisor of 215, 682, 180, 171?
We can find the highest common divisor of 215, 682, 180, 171 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 215, 682, 180, 171 i.e 1.
3. How can I use the GCD of 215, 682, 180, 171Calculator?
Out the numbers 215, 682, 180, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.