GCD of 849, 216, 156, 870 Calculator

Given Input numbers are 849, 216, 156, 870

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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 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 (849, 216, 156, 870) = 3.

Given numbers are 849, 216, 156, 870

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

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

The highest common occurrence is 3¹

Therefore, GCD of 849, 216, 156, 870 is 3.

Given numbers are 849, 216, 156, 870

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

Apply this formula for all numbers.

Step1:

LCM(849, 216) = 61128

GCD(849, 216) = ( 849 x 216 ) / 61128

= 849 / 216

= 849

Step2:

LCM(3, 156) = 156

GCD(3, 156) = ( 3 x 156 ) / 156

= 3 / 156

= 3

Step3:

LCM(3, 870) = 870

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

= 3 / 870

= 3

So, Greatest Common Divisor of 849, 216, 156, 870 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 377, 514, 653, 689
• GCD of 126, 517, 313, 482
• GCD of 911, 368, 661, 240
• GCD of 484, 300, 792, 583
• GCD of 633, 557, 670, 897

Given numbers are 849, 216, 156, 870
The greatest common divisor of numbers 849, 216, 156, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 216, 156, 870 is 3.

1. What is the GCD of 849, 216, 156, 870?

GCD of given numbers 849, 216, 156, 870 is 3

2. How to calculate the greatest common divisor of 849, 216, 156, 870?

We can find the highest common divisor of 849, 216, 156, 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 849, 216, 156, 870 i.e 3.

3. How can I use the GCD of 849, 216, 156, 870Calculator?

Out the numbers 849, 216, 156, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.