Online GCD Calculator is useful to find the GCD of 183, 123, 828, 162 quickly. Get the easiest ways to solve the greatest common divisor of 183, 123, 828, 162 i.e 3 in different methods as follows.
Given Input numbers are 183, 123, 828, 162
In the factoring method, we have to find the divisors of all numbers
Divisors of 183 :
The positive integer divisors of 183 that completely divides 183 are.
1, 3, 61, 183
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
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 (183, 123, 828, 162) = 3.
Given numbers are 183, 123, 828, 162
The list of prime factors of all numbers are
Prime factors of 183 are 3 x 61
Prime factors of 123 are 3 x 41
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 183, 123, 828, 162 is 3.
Given numbers are 183, 123, 828, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(183, 123) = 7503
GCD(183, 123) = ( 183 x 123 ) / 7503
= 183 / 123
= 183
Step2:
LCM(3, 828) = 828
GCD(3, 828) = ( 3 x 828 ) / 828
= 3 / 828
= 3
Step3:
LCM(3, 162) = 162
GCD(3, 162) = ( 3 x 162 ) / 162
= 3 / 162
= 3
So, Greatest Common Divisor of 183, 123, 828, 162 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 183, 123, 828, 162
The greatest common divisor of numbers 183, 123, 828, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 183, 123, 828, 162 is 3.
1. What is the GCD of 183, 123, 828, 162?
GCD of given numbers 183, 123, 828, 162 is 3
2. How to calculate the greatest common divisor of 183, 123, 828, 162?
We can find the highest common divisor of 183, 123, 828, 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 183, 123, 828, 162 i.e 3.
3. How can I use the GCD of 183, 123, 828, 162Calculator?
Out the numbers 183, 123, 828, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.