Online GCD Calculator is useful to find the GCD of 900, 998, 585, 402 quickly. Get the easiest ways to solve the greatest common divisor of 900, 998, 585, 402 i.e 1 in different methods as follows.
Given Input numbers are 900, 998, 585, 402
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
GCD of numbers is the greatest common divisor
So, the GCD (900, 998, 585, 402) = 1.
Given numbers are 900, 998, 585, 402
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 998 are 2 x 499
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 402 are 2 x 3 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 998, 585, 402
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 998) = 449100
GCD(900, 998) = ( 900 x 998 ) / 449100
= 900 / 998
= 900
Step2:
LCM(2, 585) = 1170
GCD(2, 585) = ( 2 x 585 ) / 1170
= 2 / 585
= 2
Step3:
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
= 1 / 402
= 1
So, Greatest Common Divisor of 900, 998, 585, 402 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 998, 585, 402
The greatest common divisor of numbers 900, 998, 585, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 998, 585, 402 is 1.
1. What is the GCD of 900, 998, 585, 402?
GCD of given numbers 900, 998, 585, 402 is 1
2. How to calculate the greatest common divisor of 900, 998, 585, 402?
We can find the highest common divisor of 900, 998, 585, 402 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 900, 998, 585, 402 i.e 1.
3. How can I use the GCD of 900, 998, 585, 402Calculator?
Out the numbers 900, 998, 585, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.