GCD of 506, 422, 364, 540 Calculator

Given Input numbers are 506, 422, 364, 540

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 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

GCD of numbers is the greatest common divisor

So, the GCD (506, 422, 364, 540) = 2.

Given numbers are 506, 422, 364, 540

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 422 are 2 x 211

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 506, 422, 364, 540 is 2.

Given numbers are 506, 422, 364, 540

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

Apply this formula for all numbers.

Step1:

LCM(506, 422) = 106766

GCD(506, 422) = ( 506 x 422 ) / 106766

= 506 / 422

= 506

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

= 2 / 540

= 2

So, Greatest Common Divisor of 506, 422, 364, 540 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 508, 522, 941
• GCD of 976, 686, 983, 433
• GCD of 167, 507, 977, 779
• GCD of 161, 967, 767, 260
• GCD of 517, 493, 357, 552

Given numbers are 506, 422, 364, 540
The greatest common divisor of numbers 506, 422, 364, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 422, 364, 540 is 2.

1. What is the GCD of 506, 422, 364, 540?

GCD of given numbers 506, 422, 364, 540 is 2

2. How to calculate the greatest common divisor of 506, 422, 364, 540?

We can find the highest common divisor of 506, 422, 364, 540 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, 422, 364, 540 i.e 2.

3. How can I use the GCD of 506, 422, 364, 540Calculator?

Out the numbers 506, 422, 364, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.