Online GCD Calculator is useful to find the GCD of 209, 972, 589, 821 quickly. Get the easiest ways to solve the greatest common divisor of 209, 972, 589, 821 i.e 1 in different methods as follows.
Given Input numbers are 209, 972, 589, 821
In the factoring method, we have to find the divisors of all numbers
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
GCD of numbers is the greatest common divisor
So, the GCD (209, 972, 589, 821) = 1.
Given numbers are 209, 972, 589, 821
The list of prime factors of all numbers are
Prime factors of 209 are 11 x 19
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 589 are 19 x 31
Prime factors of 821 are 821
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 209, 972, 589, 821
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(209, 972) = 203148
GCD(209, 972) = ( 209 x 972 ) / 203148
= 209 / 972
= 209
Step2:
LCM(1, 589) = 589
GCD(1, 589) = ( 1 x 589 ) / 589
= 1 / 589
= 1
Step3:
LCM(1, 821) = 821
GCD(1, 821) = ( 1 x 821 ) / 821
= 1 / 821
= 1
So, Greatest Common Divisor of 209, 972, 589, 821 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 209, 972, 589, 821
The greatest common divisor of numbers 209, 972, 589, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 972, 589, 821 is 1.
1. What is the GCD of 209, 972, 589, 821?
GCD of given numbers 209, 972, 589, 821 is 1
2. How to calculate the greatest common divisor of 209, 972, 589, 821?
We can find the highest common divisor of 209, 972, 589, 821 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 209, 972, 589, 821 i.e 1.
3. How can I use the GCD of 209, 972, 589, 821Calculator?
Out the numbers 209, 972, 589, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.