Online GCD Calculator is useful to find the GCD of 162, 576, 732, 261 quickly. Get the easiest ways to solve the greatest common divisor of 162, 576, 732, 261 i.e 3 in different methods as follows.
Given Input numbers are 162, 576, 732, 261
In the factoring method, we have to find the divisors of all numbers
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
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 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
GCD of numbers is the greatest common divisor
So, the GCD (162, 576, 732, 261) = 3.
Given numbers are 162, 576, 732, 261
The list of prime factors of all numbers are
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 261 are 3 x 3 x 29
The highest common occurrence is 31
Therefore, GCD of 162, 576, 732, 261 is 3.
Given numbers are 162, 576, 732, 261
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 576) = 5184
GCD(162, 576) = ( 162 x 576 ) / 5184
= 162 / 576
= 162
Step2:
LCM(18, 732) = 2196
GCD(18, 732) = ( 18 x 732 ) / 2196
= 18 / 732
= 18
Step3:
LCM(6, 261) = 522
GCD(6, 261) = ( 6 x 261 ) / 522
= 6 / 261
= 6
So, Greatest Common Divisor of 162, 576, 732, 261 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 576, 732, 261
The greatest common divisor of numbers 162, 576, 732, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 576, 732, 261 is 3.
1. What is the GCD of 162, 576, 732, 261?
GCD of given numbers 162, 576, 732, 261 is 3
2. How to calculate the greatest common divisor of 162, 576, 732, 261?
We can find the highest common divisor of 162, 576, 732, 261 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 162, 576, 732, 261 i.e 3.
3. How can I use the GCD of 162, 576, 732, 261Calculator?
Out the numbers 162, 576, 732, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.