GCD of 123, 399, 546, 162 Calculator

Given Input numbers are 123, 399, 546, 162

In the factoring method, we have to find the divisors of all numbers

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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 (123, 399, 546, 162) = 3.

Given numbers are 123, 399, 546, 162

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 399 are 3 x 7 x 19

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 123, 399, 546, 162 is 3.

Given numbers are 123, 399, 546, 162

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(123, 399) = 16359

GCD(123, 399) = ( 123 x 399 ) / 16359

= 123 / 399

= 123

Step2:

LCM(3, 546) = 546

GCD(3, 546) = ( 3 x 546 ) / 546

= 3 / 546

= 3

Step3:

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

= 3 / 162

= 3

So, Greatest Common Divisor of 123, 399, 546, 162 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 818, 718, 330
• GCD of 756, 259, 665, 815
• GCD of 493, 943, 954, 391
• GCD of 936, 833, 378, 581
• GCD of 875, 377, 792, 329

Given numbers are 123, 399, 546, 162
The greatest common divisor of numbers 123, 399, 546, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 399, 546, 162 is 3.

1. What is the GCD of 123, 399, 546, 162?

GCD of given numbers 123, 399, 546, 162 is 3

2. How to calculate the greatest common divisor of 123, 399, 546, 162?

We can find the highest common divisor of 123, 399, 546, 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 123, 399, 546, 162 i.e 3.

3. How can I use the GCD of 123, 399, 546, 162Calculator?

Out the numbers 123, 399, 546, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.