GCD of 159, 816, 228, 870 Calculator

Given Input numbers are 159, 816, 228, 870

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

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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 (159, 816, 228, 870) = 3.

Given numbers are 159, 816, 228, 870

The list of prime factors of all numbers are

Prime factors of 159 are 3 x 53

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

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 159, 816, 228, 870 is 3.

Given numbers are 159, 816, 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(159, 816) = 43248

GCD(159, 816) = ( 159 x 816 ) / 43248

= 159 / 816

= 159

Step2:

LCM(3, 228) = 228

GCD(3, 228) = ( 3 x 228 ) / 228

= 3 / 228

= 3

Step3:

LCM(3, 870) = 870

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

= 3 / 870

= 3

So, Greatest Common Divisor of 159, 816, 228, 870 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 566, 679, 494
• GCD of 651, 915, 197, 203
• GCD of 660, 590, 243, 403
• GCD of 135, 627, 501, 316
• GCD of 631, 233, 290, 217

Given numbers are 159, 816, 228, 870
The greatest common divisor of numbers 159, 816, 228, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 816, 228, 870 is 3.

1. What is the GCD of 159, 816, 228, 870?

GCD of given numbers 159, 816, 228, 870 is 3

2. How to calculate the greatest common divisor of 159, 816, 228, 870?

We can find the highest common divisor of 159, 816, 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 159, 816, 228, 870 i.e 3.

3. How can I use the GCD of 159, 816, 228, 870Calculator?

Out the numbers 159, 816, 228, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.