Online GCD Calculator is useful to find the GCD of 900, 150, 576, 998 quickly. Get the easiest ways to solve the greatest common divisor of 900, 150, 576, 998 i.e 2 in different methods as follows.
Given Input numbers are 900, 150, 576, 998
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 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
GCD of numbers is the greatest common divisor
So, the GCD (900, 150, 576, 998) = 2.
Given numbers are 900, 150, 576, 998
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 150 are 2 x 3 x 5 x 5
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 998 are 2 x 499
The highest common occurrence is 21
Therefore, GCD of 900, 150, 576, 998 is 2.
Given numbers are 900, 150, 576, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 150) = 900
GCD(900, 150) = ( 900 x 150 ) / 900
= 900 / 150
= 900
Step2:
LCM(150, 576) = 14400
GCD(150, 576) = ( 150 x 576 ) / 14400
= 150 / 576
= 150
Step3:
LCM(6, 998) = 2994
GCD(6, 998) = ( 6 x 998 ) / 2994
= 6 / 998
= 6
So, Greatest Common Divisor of 900, 150, 576, 998 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 150, 576, 998
The greatest common divisor of numbers 900, 150, 576, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 150, 576, 998 is 2.
1. What is the GCD of 900, 150, 576, 998?
GCD of given numbers 900, 150, 576, 998 is 2
2. How to calculate the greatest common divisor of 900, 150, 576, 998?
We can find the highest common divisor of 900, 150, 576, 998 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, 150, 576, 998 i.e 2.
3. How can I use the GCD of 900, 150, 576, 998Calculator?
Out the numbers 900, 150, 576, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.