Online GCD Calculator is useful to find the GCD of 162, 508, 568, 132 quickly. Get the easiest ways to solve the greatest common divisor of 162, 508, 568, 132 i.e 2 in different methods as follows.
Given Input numbers are 162, 508, 568, 132
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 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 568 :
The positive integer divisors of 568 that completely divides 568 are.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD of numbers is the greatest common divisor
So, the GCD (162, 508, 568, 132) = 2.
Given numbers are 162, 508, 568, 132
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 508 are 2 x 2 x 127
Prime factors of 568 are 2 x 2 x 2 x 71
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 162, 508, 568, 132 is 2.
Given numbers are 162, 508, 568, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 508) = 41148
GCD(162, 508) = ( 162 x 508 ) / 41148
= 162 / 508
= 162
Step2:
LCM(2, 568) = 568
GCD(2, 568) = ( 2 x 568 ) / 568
= 2 / 568
= 2
Step3:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
So, Greatest Common Divisor of 162, 508, 568, 132 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 508, 568, 132
The greatest common divisor of numbers 162, 508, 568, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 508, 568, 132 is 2.
1. What is the GCD of 162, 508, 568, 132?
GCD of given numbers 162, 508, 568, 132 is 2
2. How to calculate the greatest common divisor of 162, 508, 568, 132?
We can find the highest common divisor of 162, 508, 568, 132 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, 508, 568, 132 i.e 2.
3. How can I use the GCD of 162, 508, 568, 132Calculator?
Out the numbers 162, 508, 568, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.