GCD of 642, 212, 178, 216 Calculator

Given Input numbers are 642, 212, 178, 216

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

Divisors of 642 :

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

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

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

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

GCD of numbers is the greatest common divisor

So, the GCD (642, 212, 178, 216) = 2.

Given numbers are 642, 212, 178, 216

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 212 are 2 x 2 x 53

Prime factors of 178 are 2 x 89

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

The highest common occurrence is 2¹

Therefore, GCD of 642, 212, 178, 216 is 2.

Given numbers are 642, 212, 178, 216

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

Apply this formula for all numbers.

Step1:

LCM(642, 212) = 68052

GCD(642, 212) = ( 642 x 212 ) / 68052

= 642 / 212

= 642

Step2:

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

= 2 / 178

= 2

Step3:

LCM(2, 216) = 216

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

= 2 / 216

= 2

So, Greatest Common Divisor of 642, 212, 178, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 732, 311, 520
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• GCD of 162, 262, 855, 364
• GCD of 756, 234, 467, 603
• GCD of 354, 235, 561, 635

Given numbers are 642, 212, 178, 216
The greatest common divisor of numbers 642, 212, 178, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 212, 178, 216 is 2.

1. What is the GCD of 642, 212, 178, 216?

GCD of given numbers 642, 212, 178, 216 is 2

2. How to calculate the greatest common divisor of 642, 212, 178, 216?

We can find the highest common divisor of 642, 212, 178, 216 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 642, 212, 178, 216 i.e 2.

3. How can I use the GCD of 642, 212, 178, 216Calculator?

Out the numbers 642, 212, 178, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.