GCD of 183, 123, 828, 162 Calculator

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.

• GCD of 936, 311, 687, 591
• GCD of 547, 616, 338, 243
• GCD of 532, 680, 709, 669
• GCD of 162, 923, 148, 320
• GCD of 520, 296, 344, 484

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.