Online GCD Calculator is useful to find the GCD of 189, 600, 475, 821 quickly. Get the easiest ways to solve the greatest common divisor of 189, 600, 475, 821 i.e 1 in different methods as follows.
Given Input numbers are 189, 600, 475, 821
In the factoring method, we have to find the divisors of all numbers
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
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 475 :
The positive integer divisors of 475 that completely divides 475 are.
1, 5, 19, 25, 95, 475
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 (189, 600, 475, 821) = 1.
Given numbers are 189, 600, 475, 821
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 475 are 5 x 5 x 19
Prime factors of 821 are 821
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 189, 600, 475, 821
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 600) = 37800
GCD(189, 600) = ( 189 x 600 ) / 37800
= 189 / 600
= 189
Step2:
LCM(3, 475) = 1425
GCD(3, 475) = ( 3 x 475 ) / 1425
= 3 / 475
= 3
Step3:
LCM(1, 821) = 821
GCD(1, 821) = ( 1 x 821 ) / 821
= 1 / 821
= 1
So, Greatest Common Divisor of 189, 600, 475, 821 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 600, 475, 821
The greatest common divisor of numbers 189, 600, 475, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 600, 475, 821 is 1.
1. What is the GCD of 189, 600, 475, 821?
GCD of given numbers 189, 600, 475, 821 is 1
2. How to calculate the greatest common divisor of 189, 600, 475, 821?
We can find the highest common divisor of 189, 600, 475, 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 189, 600, 475, 821 i.e 1.
3. How can I use the GCD of 189, 600, 475, 821Calculator?
Out the numbers 189, 600, 475, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.