GCD of 506, 792, 106, 536 Calculator

Given Input numbers are 506, 792, 106, 536

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 106 :

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

1, 2, 53, 106

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

GCD of numbers is the greatest common divisor

So, the GCD (506, 792, 106, 536) = 2.

Given numbers are 506, 792, 106, 536

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 106 are 2 x 53

Prime factors of 536 are 2 x 2 x 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 506, 792, 106, 536 is 2.

Given numbers are 506, 792, 106, 536

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

Apply this formula for all numbers.

Step1:

LCM(506, 792) = 18216

GCD(506, 792) = ( 506 x 792 ) / 18216

= 506 / 792

= 506

Step2:

LCM(22, 106) = 1166

GCD(22, 106) = ( 22 x 106 ) / 1166

= 22 / 106

= 22

Step3:

LCM(2, 536) = 536

GCD(2, 536) = ( 2 x 536 ) / 536

= 2 / 536

= 2

So, Greatest Common Divisor of 506, 792, 106, 536 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 606, 866, 581
• GCD of 158, 674, 317, 878
• GCD of 265, 279, 561, 471
• GCD of 129, 930, 974, 653
• GCD of 491, 248, 516, 739

Given numbers are 506, 792, 106, 536
The greatest common divisor of numbers 506, 792, 106, 536 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 792, 106, 536 is 2.

1. What is the GCD of 506, 792, 106, 536?

GCD of given numbers 506, 792, 106, 536 is 2

2. How to calculate the greatest common divisor of 506, 792, 106, 536?

We can find the highest common divisor of 506, 792, 106, 536 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 506, 792, 106, 536 i.e 2.

3. How can I use the GCD of 506, 792, 106, 536Calculator?

Out the numbers 506, 792, 106, 536 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.