GCD of 368, 286, 216, 642 Calculator

Given Input numbers are 368, 286, 216, 642

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

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

GCD of numbers is the greatest common divisor

So, the GCD (368, 286, 216, 642) = 2.

Given numbers are 368, 286, 216, 642

The list of prime factors of all numbers are

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 286 are 2 x 11 x 13

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

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 2¹

Therefore, GCD of 368, 286, 216, 642 is 2.

Given numbers are 368, 286, 216, 642

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

Apply this formula for all numbers.

Step1:

LCM(368, 286) = 52624

GCD(368, 286) = ( 368 x 286 ) / 52624

= 368 / 286

= 368

Step2:

LCM(2, 216) = 216

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

= 2 / 216

= 2

Step3:

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

= 2 / 642

= 2

So, Greatest Common Divisor of 368, 286, 216, 642 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 514, 157, 359
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• GCD of 452, 148, 614, 977

Given numbers are 368, 286, 216, 642
The greatest common divisor of numbers 368, 286, 216, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 286, 216, 642 is 2.

1. What is the GCD of 368, 286, 216, 642?

GCD of given numbers 368, 286, 216, 642 is 2

2. How to calculate the greatest common divisor of 368, 286, 216, 642?

We can find the highest common divisor of 368, 286, 216, 642 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 368, 286, 216, 642 i.e 2.

3. How can I use the GCD of 368, 286, 216, 642Calculator?

Out the numbers 368, 286, 216, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.