GCD of 162, 684, 876, 831 Calculator

Given Input numbers are 162, 684, 876, 831

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 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

GCD of numbers is the greatest common divisor

So, the GCD (162, 684, 876, 831) = 3.

Given numbers are 162, 684, 876, 831

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 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 831 are 3 x 277

The highest common occurrence is 3¹

Therefore, GCD of 162, 684, 876, 831 is 3.

Given numbers are 162, 684, 876, 831

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

Apply this formula for all numbers.

Step1:

LCM(162, 684) = 6156

GCD(162, 684) = ( 162 x 684 ) / 6156

= 162 / 684

= 162

Step2:

LCM(18, 876) = 2628

GCD(18, 876) = ( 18 x 876 ) / 2628

= 18 / 876

= 18

Step3:

LCM(6, 831) = 1662

GCD(6, 831) = ( 6 x 831 ) / 1662

= 6 / 831

= 6

So, Greatest Common Divisor of 162, 684, 876, 831 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 813, 588, 529
• GCD of 802, 477, 955, 894
• GCD of 900, 299, 610, 762
• GCD of 382, 295, 415, 931
• GCD of 234, 754, 242, 614

Given numbers are 162, 684, 876, 831
The greatest common divisor of numbers 162, 684, 876, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 684, 876, 831 is 3.

1. What is the GCD of 162, 684, 876, 831?

GCD of given numbers 162, 684, 876, 831 is 3

2. How to calculate the greatest common divisor of 162, 684, 876, 831?

We can find the highest common divisor of 162, 684, 876, 831 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, 684, 876, 831 i.e 3.

3. How can I use the GCD of 162, 684, 876, 831Calculator?

Out the numbers 162, 684, 876, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.