GCD of 372, 312, 638, 438 Calculator

Given Input numbers are 372, 312, 638, 438

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

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (372, 312, 638, 438) = 2.

Given numbers are 372, 312, 638, 438

The list of prime factors of all numbers are

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 638 are 2 x 11 x 29

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 2¹

Therefore, GCD of 372, 312, 638, 438 is 2.

Given numbers are 372, 312, 638, 438

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

Apply this formula for all numbers.

Step1:

LCM(372, 312) = 9672

GCD(372, 312) = ( 372 x 312 ) / 9672

= 372 / 312

= 372

Step2:

LCM(12, 638) = 3828

GCD(12, 638) = ( 12 x 638 ) / 3828

= 12 / 638

= 12

Step3:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

So, Greatest Common Divisor of 372, 312, 638, 438 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 780, 651, 682, 556
• GCD of 148, 783, 387, 596
• GCD of 434, 910, 114, 575
• GCD of 489, 146, 882, 772
• GCD of 342, 497, 741, 297

Given numbers are 372, 312, 638, 438
The greatest common divisor of numbers 372, 312, 638, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 312, 638, 438 is 2.

1. What is the GCD of 372, 312, 638, 438?

GCD of given numbers 372, 312, 638, 438 is 2

2. How to calculate the greatest common divisor of 372, 312, 638, 438?

We can find the highest common divisor of 372, 312, 638, 438 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 372, 312, 638, 438 i.e 2.

3. How can I use the GCD of 372, 312, 638, 438Calculator?

Out the numbers 372, 312, 638, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.