GCD of 854, 180, 216, 868 Calculator

Given Input numbers are 854, 180, 216, 868

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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 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 (854, 180, 216, 868) = 2.

Given numbers are 854, 180, 216, 868

The list of prime factors of all numbers are

Prime factors of 854 are 2 x 7 x 61

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

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

The highest common occurrence is 2¹

Therefore, GCD of 854, 180, 216, 868 is 2.

Given numbers are 854, 180, 216, 868

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

Apply this formula for all numbers.

Step1:

LCM(854, 180) = 76860

GCD(854, 180) = ( 854 x 180 ) / 76860

= 854 / 180

= 854

Step2:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

Step3:

LCM(2, 868) = 868

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

= 2 / 868

= 2

So, Greatest Common Divisor of 854, 180, 216, 868 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 798, 672, 648
• GCD of 409, 534, 332, 473
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Given numbers are 854, 180, 216, 868
The greatest common divisor of numbers 854, 180, 216, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 180, 216, 868 is 2.

1. What is the GCD of 854, 180, 216, 868?

GCD of given numbers 854, 180, 216, 868 is 2

2. How to calculate the greatest common divisor of 854, 180, 216, 868?

We can find the highest common divisor of 854, 180, 216, 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 854, 180, 216, 868 i.e 2.

3. How can I use the GCD of 854, 180, 216, 868Calculator?

Out the numbers 854, 180, 216, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.