GCD of 216, 858, 340, 852 Calculator

Given Input numbers are 216, 858, 340, 852

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 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 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (216, 858, 340, 852) = 2.

Given numbers are 216, 858, 340, 852

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 858 are 2 x 3 x 11 x 13

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 852 are 2 x 2 x 3 x 71

The highest common occurrence is 2¹

Therefore, GCD of 216, 858, 340, 852 is 2.

Given numbers are 216, 858, 340, 852

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

Apply this formula for all numbers.

Step1:

LCM(216, 858) = 30888

GCD(216, 858) = ( 216 x 858 ) / 30888

= 216 / 858

= 216

Step2:

LCM(6, 340) = 1020

GCD(6, 340) = ( 6 x 340 ) / 1020

= 6 / 340

= 6

Step3:

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

= 2 / 852

= 2

So, Greatest Common Divisor of 216, 858, 340, 852 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 401, 879, 714, 387
• GCD of 894, 235, 174, 882
• GCD of 233, 472, 398, 771
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• GCD of 417, 679, 202, 245

Given numbers are 216, 858, 340, 852
The greatest common divisor of numbers 216, 858, 340, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 858, 340, 852 is 2.

1. What is the GCD of 216, 858, 340, 852?

GCD of given numbers 216, 858, 340, 852 is 2

2. How to calculate the greatest common divisor of 216, 858, 340, 852?

We can find the highest common divisor of 216, 858, 340, 852 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, 858, 340, 852 i.e 2.

3. How can I use the GCD of 216, 858, 340, 852Calculator?

Out the numbers 216, 858, 340, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.