GCD of 162, 819, 954, 867 Calculator

Given Input numbers are 162, 819, 954, 867

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 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

GCD of numbers is the greatest common divisor

So, the GCD (162, 819, 954, 867) = 3.

Given numbers are 162, 819, 954, 867

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 819 are 3 x 3 x 7 x 13

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 867 are 3 x 17 x 17

The highest common occurrence is 3¹

Therefore, GCD of 162, 819, 954, 867 is 3.

Given numbers are 162, 819, 954, 867

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

Apply this formula for all numbers.

Step1:

LCM(162, 819) = 14742

GCD(162, 819) = ( 162 x 819 ) / 14742

= 162 / 819

= 162

Step2:

LCM(9, 954) = 954

GCD(9, 954) = ( 9 x 954 ) / 954

= 9 / 954

= 9

Step3:

LCM(9, 867) = 2601

GCD(9, 867) = ( 9 x 867 ) / 2601

= 9 / 867

= 9

So, Greatest Common Divisor of 162, 819, 954, 867 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 907, 576, 488
• GCD of 843, 760, 347, 307
• GCD of 834, 760, 466, 480
• GCD of 313, 925, 122, 531
• GCD of 321, 949, 471, 961

Given numbers are 162, 819, 954, 867
The greatest common divisor of numbers 162, 819, 954, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 819, 954, 867 is 3.

1. What is the GCD of 162, 819, 954, 867?

GCD of given numbers 162, 819, 954, 867 is 3

2. How to calculate the greatest common divisor of 162, 819, 954, 867?

We can find the highest common divisor of 162, 819, 954, 867 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, 819, 954, 867 i.e 3.

3. How can I use the GCD of 162, 819, 954, 867Calculator?

Out the numbers 162, 819, 954, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.