Online GCD Calculator is useful to find the GCD of 204, 868, 73, 900 quickly. Get the easiest ways to solve the greatest common divisor of 204, 868, 73, 900 i.e 1 in different methods as follows.
Given Input numbers are 204, 868, 73, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 73 :
The positive integer divisors of 73 that completely divides 73 are.
1, 73
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
GCD of numbers is the greatest common divisor
So, the GCD (204, 868, 73, 900) = 1.
Given numbers are 204, 868, 73, 900
The list of prime factors of all numbers are
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 868 are 2 x 2 x 7 x 31
Prime factors of 73 are 73
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 204, 868, 73, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(204, 868) = 44268
GCD(204, 868) = ( 204 x 868 ) / 44268
= 204 / 868
= 204
Step2:
LCM(4, 73) = 292
GCD(4, 73) = ( 4 x 73 ) / 292
= 4 / 73
= 4
Step3:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
So, Greatest Common Divisor of 204, 868, 73, 900 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 204, 868, 73, 900
The greatest common divisor of numbers 204, 868, 73, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 868, 73, 900 is 1.
1. What is the GCD of 204, 868, 73, 900?
GCD of given numbers 204, 868, 73, 900 is 1
2. How to calculate the greatest common divisor of 204, 868, 73, 900?
We can find the highest common divisor of 204, 868, 73, 900 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 204, 868, 73, 900 i.e 1.
3. How can I use the GCD of 204, 868, 73, 900Calculator?
Out the numbers 204, 868, 73, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.