GCD of 162, 189, 228, 870 Calculator

Given Input numbers are 162, 189, 228, 870

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 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

GCD of numbers is the greatest common divisor

So, the GCD (162, 189, 228, 870) = 3.

Given numbers are 162, 189, 228, 870

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 189 are 3 x 3 x 3 x 7

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 870 are 2 x 3 x 5 x 29

The highest common occurrence is 3¹

Therefore, GCD of 162, 189, 228, 870 is 3.

Given numbers are 162, 189, 228, 870

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

Apply this formula for all numbers.

Step1:

LCM(162, 189) = 1134

GCD(162, 189) = ( 162 x 189 ) / 1134

= 162 / 189

= 162

Step2:

LCM(27, 228) = 2052

GCD(27, 228) = ( 27 x 228 ) / 2052

= 27 / 228

= 27

Step3:

LCM(3, 870) = 870

GCD(3, 870) = ( 3 x 870 ) / 870

= 3 / 870

= 3

So, Greatest Common Divisor of 162, 189, 228, 870 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 231, 273, 556
• GCD of 290, 871, 157, 706
• GCD of 509, 579, 136, 240
• GCD of 325, 487, 608, 669
• GCD of 710, 815, 319, 602

Given numbers are 162, 189, 228, 870
The greatest common divisor of numbers 162, 189, 228, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 189, 228, 870 is 3.

1. What is the GCD of 162, 189, 228, 870?

GCD of given numbers 162, 189, 228, 870 is 3

2. How to calculate the greatest common divisor of 162, 189, 228, 870?

We can find the highest common divisor of 162, 189, 228, 870 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, 189, 228, 870 i.e 3.

3. How can I use the GCD of 162, 189, 228, 870Calculator?

Out the numbers 162, 189, 228, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.