GCD of 216, 356, 858, 868 Calculator

Given Input numbers are 216, 356, 858, 868

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

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 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

GCD of numbers is the greatest common divisor

So, the GCD (216, 356, 858, 868) = 2.

Given numbers are 216, 356, 858, 868

The list of prime factors of all numbers are

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

Prime factors of 356 are 2 x 2 x 89

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 868 are 2 x 2 x 7 x 31

The highest common occurrence is 2¹

Therefore, GCD of 216, 356, 858, 868 is 2.

Given numbers are 216, 356, 858, 868

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

Apply this formula for all numbers.

Step1:

LCM(216, 356) = 19224

GCD(216, 356) = ( 216 x 356 ) / 19224

= 216 / 356

= 216

Step2:

LCM(4, 858) = 1716

GCD(4, 858) = ( 4 x 858 ) / 1716

= 4 / 858

= 4

Step3:

LCM(2, 868) = 868

GCD(2, 868) = ( 2 x 868 ) / 868

= 2 / 868

= 2

So, Greatest Common Divisor of 216, 356, 858, 868 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 375, 414, 770
• GCD of 416, 397, 860, 860
• GCD of 782, 674, 105, 192
• GCD of 975, 986, 398, 578
• GCD of 299, 783, 328, 835

Given numbers are 216, 356, 858, 868
The greatest common divisor of numbers 216, 356, 858, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 356, 858, 868 is 2.

1. What is the GCD of 216, 356, 858, 868?

GCD of given numbers 216, 356, 858, 868 is 2

2. How to calculate the greatest common divisor of 216, 356, 858, 868?

We can find the highest common divisor of 216, 356, 858, 868 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 216, 356, 858, 868 i.e 2.

3. How can I use the GCD of 216, 356, 858, 868Calculator?

Out the numbers 216, 356, 858, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.