GCD of 756, 216, 236, 422 Calculator

Given Input numbers are 756, 216, 236, 422

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (756, 216, 236, 422) = 2.

Given numbers are 756, 216, 236, 422

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

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

Prime factors of 236 are 2 x 2 x 59

Prime factors of 422 are 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 756, 216, 236, 422 is 2.

Given numbers are 756, 216, 236, 422

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

Apply this formula for all numbers.

Step1:

LCM(756, 216) = 1512

GCD(756, 216) = ( 756 x 216 ) / 1512

= 756 / 216

= 756

Step2:

LCM(108, 236) = 6372

GCD(108, 236) = ( 108 x 236 ) / 6372

= 108 / 236

= 108

Step3:

LCM(4, 422) = 844

GCD(4, 422) = ( 4 x 422 ) / 844

= 4 / 422

= 4

So, Greatest Common Divisor of 756, 216, 236, 422 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 315, 342, 236
• GCD of 204, 461, 657, 369
• GCD of 140, 814, 570, 114
• GCD of 755, 318, 386, 350
• GCD of 961, 929, 147, 851

Given numbers are 756, 216, 236, 422
The greatest common divisor of numbers 756, 216, 236, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 216, 236, 422 is 2.

1. What is the GCD of 756, 216, 236, 422?

GCD of given numbers 756, 216, 236, 422 is 2

2. How to calculate the greatest common divisor of 756, 216, 236, 422?

We can find the highest common divisor of 756, 216, 236, 422 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 756, 216, 236, 422 i.e 2.

3. How can I use the GCD of 756, 216, 236, 422Calculator?

Out the numbers 756, 216, 236, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.