Online GCD Calculator is useful to find the GCD of 162, 188, 642, 824 quickly. Get the easiest ways to solve the greatest common divisor of 162, 188, 642, 824 i.e 2 in different methods as follows.
Given Input numbers are 162, 188, 642, 824
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 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
GCD of numbers is the greatest common divisor
So, the GCD (162, 188, 642, 824) = 2.
Given numbers are 162, 188, 642, 824
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 188 are 2 x 2 x 47
Prime factors of 642 are 2 x 3 x 107
Prime factors of 824 are 2 x 2 x 2 x 103
The highest common occurrence is 21
Therefore, GCD of 162, 188, 642, 824 is 2.
Given numbers are 162, 188, 642, 824
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 188) = 15228
GCD(162, 188) = ( 162 x 188 ) / 15228
= 162 / 188
= 162
Step2:
LCM(2, 642) = 642
GCD(2, 642) = ( 2 x 642 ) / 642
= 2 / 642
= 2
Step3:
LCM(2, 824) = 824
GCD(2, 824) = ( 2 x 824 ) / 824
= 2 / 824
= 2
So, Greatest Common Divisor of 162, 188, 642, 824 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 188, 642, 824
The greatest common divisor of numbers 162, 188, 642, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 188, 642, 824 is 2.
1. What is the GCD of 162, 188, 642, 824?
GCD of given numbers 162, 188, 642, 824 is 2
2. How to calculate the greatest common divisor of 162, 188, 642, 824?
We can find the highest common divisor of 162, 188, 642, 824 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, 188, 642, 824 i.e 2.
3. How can I use the GCD of 162, 188, 642, 824Calculator?
Out the numbers 162, 188, 642, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.