Online GCD Calculator is useful to find the GCD of 213, 600, 580, 166 quickly. Get the easiest ways to solve the greatest common divisor of 213, 600, 580, 166 i.e 1 in different methods as follows.
Given Input numbers are 213, 600, 580, 166
In the factoring method, we have to find the divisors of all numbers
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
GCD of numbers is the greatest common divisor
So, the GCD (213, 600, 580, 166) = 1.
Given numbers are 213, 600, 580, 166
The list of prime factors of all numbers are
Prime factors of 213 are 3 x 71
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 166 are 2 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 213, 600, 580, 166
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(213, 600) = 42600
GCD(213, 600) = ( 213 x 600 ) / 42600
= 213 / 600
= 213
Step2:
LCM(3, 580) = 1740
GCD(3, 580) = ( 3 x 580 ) / 1740
= 3 / 580
= 3
Step3:
LCM(1, 166) = 166
GCD(1, 166) = ( 1 x 166 ) / 166
= 1 / 166
= 1
So, Greatest Common Divisor of 213, 600, 580, 166 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 213, 600, 580, 166
The greatest common divisor of numbers 213, 600, 580, 166 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 600, 580, 166 is 1.
1. What is the GCD of 213, 600, 580, 166?
GCD of given numbers 213, 600, 580, 166 is 1
2. How to calculate the greatest common divisor of 213, 600, 580, 166?
We can find the highest common divisor of 213, 600, 580, 166 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 213, 600, 580, 166 i.e 1.
3. How can I use the GCD of 213, 600, 580, 166Calculator?
Out the numbers 213, 600, 580, 166 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.