Online GCD Calculator is useful to find the GCD of 900, 285, 600, 531 quickly. Get the easiest ways to solve the greatest common divisor of 900, 285, 600, 531 i.e 3 in different methods as follows.
Given Input numbers are 900, 285, 600, 531
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 285 :
The positive integer divisors of 285 that completely divides 285 are.
1, 3, 5, 15, 19, 57, 95, 285
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 531 :
The positive integer divisors of 531 that completely divides 531 are.
1, 3, 9, 59, 177, 531
GCD of numbers is the greatest common divisor
So, the GCD (900, 285, 600, 531) = 3.
Given numbers are 900, 285, 600, 531
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 285 are 3 x 5 x 19
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 531 are 3 x 3 x 59
The highest common occurrence is 31
Therefore, GCD of 900, 285, 600, 531 is 3.
Given numbers are 900, 285, 600, 531
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 285) = 17100
GCD(900, 285) = ( 900 x 285 ) / 17100
= 900 / 285
= 900
Step2:
LCM(15, 600) = 600
GCD(15, 600) = ( 15 x 600 ) / 600
= 15 / 600
= 15
Step3:
LCM(15, 531) = 2655
GCD(15, 531) = ( 15 x 531 ) / 2655
= 15 / 531
= 15
So, Greatest Common Divisor of 900, 285, 600, 531 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 285, 600, 531
The greatest common divisor of numbers 900, 285, 600, 531 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 285, 600, 531 is 3.
1. What is the GCD of 900, 285, 600, 531?
GCD of given numbers 900, 285, 600, 531 is 3
2. How to calculate the greatest common divisor of 900, 285, 600, 531?
We can find the highest common divisor of 900, 285, 600, 531 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, 285, 600, 531 i.e 3.
3. How can I use the GCD of 900, 285, 600, 531Calculator?
Out the numbers 900, 285, 600, 531 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.