GCD of 216, 408, 282, 682 Calculator

Given Input numbers are 216, 408, 282, 682

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 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (216, 408, 282, 682) = 2.

Given numbers are 216, 408, 282, 682

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 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 282 are 2 x 3 x 47

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 2¹

Therefore, GCD of 216, 408, 282, 682 is 2.

Given numbers are 216, 408, 282, 682

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

Apply this formula for all numbers.

Step1:

LCM(216, 408) = 3672

GCD(216, 408) = ( 216 x 408 ) / 3672

= 216 / 408

= 216

Step2:

LCM(24, 282) = 1128

GCD(24, 282) = ( 24 x 282 ) / 1128

= 24 / 282

= 24

Step3:

LCM(6, 682) = 2046

GCD(6, 682) = ( 6 x 682 ) / 2046

= 6 / 682

= 6

So, Greatest Common Divisor of 216, 408, 282, 682 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 950, 292, 867
• GCD of 325, 171, 248, 429
• GCD of 355, 129, 194, 852
• GCD of 429, 306, 329, 253
• GCD of 221, 625, 933, 442

Given numbers are 216, 408, 282, 682
The greatest common divisor of numbers 216, 408, 282, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 408, 282, 682 is 2.

1. What is the GCD of 216, 408, 282, 682?

GCD of given numbers 216, 408, 282, 682 is 2

2. How to calculate the greatest common divisor of 216, 408, 282, 682?

We can find the highest common divisor of 216, 408, 282, 682 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, 408, 282, 682 i.e 2.

3. How can I use the GCD of 216, 408, 282, 682Calculator?

Out the numbers 216, 408, 282, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.