Online GCD Calculator is useful to find the GCD of 162, 412, 572, 220 quickly. Get the easiest ways to solve the greatest common divisor of 162, 412, 572, 220 i.e 2 in different methods as follows.
Given Input numbers are 162, 412, 572, 220
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 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
GCD of numbers is the greatest common divisor
So, the GCD (162, 412, 572, 220) = 2.
Given numbers are 162, 412, 572, 220
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 412 are 2 x 2 x 103
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 220 are 2 x 2 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 162, 412, 572, 220 is 2.
Given numbers are 162, 412, 572, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 412) = 33372
GCD(162, 412) = ( 162 x 412 ) / 33372
= 162 / 412
= 162
Step2:
LCM(2, 572) = 572
GCD(2, 572) = ( 2 x 572 ) / 572
= 2 / 572
= 2
Step3:
LCM(2, 220) = 220
GCD(2, 220) = ( 2 x 220 ) / 220
= 2 / 220
= 2
So, Greatest Common Divisor of 162, 412, 572, 220 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 412, 572, 220
The greatest common divisor of numbers 162, 412, 572, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 412, 572, 220 is 2.
1. What is the GCD of 162, 412, 572, 220?
GCD of given numbers 162, 412, 572, 220 is 2
2. How to calculate the greatest common divisor of 162, 412, 572, 220?
We can find the highest common divisor of 162, 412, 572, 220 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, 412, 572, 220 i.e 2.
3. How can I use the GCD of 162, 412, 572, 220Calculator?
Out the numbers 162, 412, 572, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.