GCD of 436, 696, 638, 108 Calculator

Given Input numbers are 436, 696, 638, 108

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

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 638 :

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

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (436, 696, 638, 108) = 2.

Given numbers are 436, 696, 638, 108

The list of prime factors of all numbers are

Prime factors of 436 are 2 x 2 x 109

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 638 are 2 x 11 x 29

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 436, 696, 638, 108 is 2.

Given numbers are 436, 696, 638, 108

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

Apply this formula for all numbers.

Step1:

LCM(436, 696) = 75864

GCD(436, 696) = ( 436 x 696 ) / 75864

= 436 / 696

= 436

Step2:

LCM(4, 638) = 1276

GCD(4, 638) = ( 4 x 638 ) / 1276

= 4 / 638

= 4

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 436, 696, 638, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 234, 851, 389
• GCD of 256, 499, 313, 665
• GCD of 455, 319, 751, 277
• GCD of 889, 483, 297, 402
• GCD of 570, 986, 127, 710

Given numbers are 436, 696, 638, 108
The greatest common divisor of numbers 436, 696, 638, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 436, 696, 638, 108 is 2.

1. What is the GCD of 436, 696, 638, 108?

GCD of given numbers 436, 696, 638, 108 is 2

2. How to calculate the greatest common divisor of 436, 696, 638, 108?

We can find the highest common divisor of 436, 696, 638, 108 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 436, 696, 638, 108 i.e 2.

3. How can I use the GCD of 436, 696, 638, 108Calculator?

Out the numbers 436, 696, 638, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.