GCD of 156, 288, 870 Calculator

Given Input numbers are 156, 288, 870

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

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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 (156, 288, 870) = 6.

Given numbers are 156, 288, 870

The list of prime factors of all numbers are

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 156, 288, 870 is 6.

Given numbers are 156, 288, 870

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

Apply this formula for all numbers.

Step1:

LCM(156, 288) = 3744

GCD(156, 288) = ( 156 x 288 ) / 3744

= 156 / 288

= 156

Step2:

LCM(12, 870) = 1740

GCD(12, 870) = ( 12 x 870 ) / 1740

= 12 / 870

= 12

So, Greatest Common Divisor of 156, 288, 870 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 656, 994
• GCD of 967, 776, 823
• GCD of 994, 122, 559
• GCD of 874, 650, 354
• GCD of 957, 455, 543

Given numbers are 156, 288, 870
The greatest common divisor of numbers 156, 288, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 288, 870 is 6.

1. What is the GCD of 156, 288, 870?

GCD of given numbers 156, 288, 870 is 6

2. How to calculate the greatest common divisor of 156, 288, 870?

We can find the highest common divisor of 156, 288, 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 156, 288, 870 i.e 6.

3. How can I use the GCD of 156, 288, 870Calculator?

Out the numbers 156, 288, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.