GCD of 796, 438, 108, 920 Calculator

Given Input numbers are 796, 438, 108, 920

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

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 438 :

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

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

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (796, 438, 108, 920) = 2.

Given numbers are 796, 438, 108, 920

The list of prime factors of all numbers are

Prime factors of 796 are 2 x 2 x 199

Prime factors of 438 are 2 x 3 x 73

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

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 796, 438, 108, 920 is 2.

Given numbers are 796, 438, 108, 920

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

Apply this formula for all numbers.

Step1:

LCM(796, 438) = 174324

GCD(796, 438) = ( 796 x 438 ) / 174324

= 796 / 438

= 796

Step2:

LCM(2, 108) = 108

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

= 2 / 108

= 2

Step3:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

So, Greatest Common Divisor of 796, 438, 108, 920 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 415, 781, 876, 899
• GCD of 485, 569, 167, 141
• GCD of 484, 285, 728, 112
• GCD of 346, 673, 606, 507
• GCD of 511, 352, 409, 291

Given numbers are 796, 438, 108, 920
The greatest common divisor of numbers 796, 438, 108, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 438, 108, 920 is 2.

1. What is the GCD of 796, 438, 108, 920?

GCD of given numbers 796, 438, 108, 920 is 2

2. How to calculate the greatest common divisor of 796, 438, 108, 920?

We can find the highest common divisor of 796, 438, 108, 920 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 796, 438, 108, 920 i.e 2.

3. How can I use the GCD of 796, 438, 108, 920Calculator?

Out the numbers 796, 438, 108, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.