GCD of 738, 432, 756, 212 Calculator

Given Input numbers are 738, 432, 756, 212

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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 212 :

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

1, 2, 4, 53, 106, 212

GCD of numbers is the greatest common divisor

So, the GCD (738, 432, 756, 212) = 2.

Given numbers are 738, 432, 756, 212

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 212 are 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 738, 432, 756, 212 is 2.

Given numbers are 738, 432, 756, 212

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

Apply this formula for all numbers.

Step1:

LCM(738, 432) = 17712

GCD(738, 432) = ( 738 x 432 ) / 17712

= 738 / 432

= 738

Step2:

LCM(18, 756) = 756

GCD(18, 756) = ( 18 x 756 ) / 756

= 18 / 756

= 18

Step3:

LCM(18, 212) = 1908

GCD(18, 212) = ( 18 x 212 ) / 1908

= 18 / 212

= 18

So, Greatest Common Divisor of 738, 432, 756, 212 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 499, 287, 807, 269
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Given numbers are 738, 432, 756, 212
The greatest common divisor of numbers 738, 432, 756, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 432, 756, 212 is 2.

1. What is the GCD of 738, 432, 756, 212?

GCD of given numbers 738, 432, 756, 212 is 2

2. How to calculate the greatest common divisor of 738, 432, 756, 212?

We can find the highest common divisor of 738, 432, 756, 212 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 738, 432, 756, 212 i.e 2.

3. How can I use the GCD of 738, 432, 756, 212Calculator?

Out the numbers 738, 432, 756, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.