GCD of 438, 106, 744, 376 Calculator

Given Input numbers are 438, 106, 744, 376

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

Divisors of 438 :

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

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

GCD of numbers is the greatest common divisor

So, the GCD (438, 106, 744, 376) = 2.

Given numbers are 438, 106, 744, 376

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 106 are 2 x 53

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 376 are 2 x 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 438, 106, 744, 376 is 2.

Given numbers are 438, 106, 744, 376

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

Apply this formula for all numbers.

Step1:

LCM(438, 106) = 23214

GCD(438, 106) = ( 438 x 106 ) / 23214

= 438 / 106

= 438

Step2:

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

= 2 / 744

= 2

Step3:

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

= 2 / 376

= 2

So, Greatest Common Divisor of 438, 106, 744, 376 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 327, 340, 749
• GCD of 350, 163, 436, 778
• GCD of 294, 378, 658, 462
• GCD of 356, 656, 739, 278
• GCD of 734, 734, 865, 388

Given numbers are 438, 106, 744, 376
The greatest common divisor of numbers 438, 106, 744, 376 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 106, 744, 376 is 2.

1. What is the GCD of 438, 106, 744, 376?

GCD of given numbers 438, 106, 744, 376 is 2

2. How to calculate the greatest common divisor of 438, 106, 744, 376?

We can find the highest common divisor of 438, 106, 744, 376 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 438, 106, 744, 376 i.e 2.

3. How can I use the GCD of 438, 106, 744, 376Calculator?

Out the numbers 438, 106, 744, 376 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.