Online GCD Calculator is useful to find the GCD of 900, 381, 581, 162 quickly. Get the easiest ways to solve the greatest common divisor of 900, 381, 581, 162 i.e 1 in different methods as follows.
Given Input numbers are 900, 381, 581, 162
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 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
Divisors of 581 :
The positive integer divisors of 581 that completely divides 581 are.
1, 7, 83, 581
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD of numbers is the greatest common divisor
So, the GCD (900, 381, 581, 162) = 1.
Given numbers are 900, 381, 581, 162
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 381 are 3 x 127
Prime factors of 581 are 7 x 83
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 381, 581, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 381) = 114300
GCD(900, 381) = ( 900 x 381 ) / 114300
= 900 / 381
= 900
Step2:
LCM(3, 581) = 1743
GCD(3, 581) = ( 3 x 581 ) / 1743
= 3 / 581
= 3
Step3:
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
= 1 / 162
= 1
So, Greatest Common Divisor of 900, 381, 581, 162 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 381, 581, 162
The greatest common divisor of numbers 900, 381, 581, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 381, 581, 162 is 1.
1. What is the GCD of 900, 381, 581, 162?
GCD of given numbers 900, 381, 581, 162 is 1
2. How to calculate the greatest common divisor of 900, 381, 581, 162?
We can find the highest common divisor of 900, 381, 581, 162 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, 381, 581, 162 i.e 1.
3. How can I use the GCD of 900, 381, 581, 162Calculator?
Out the numbers 900, 381, 581, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.