GCD of 506, 982, 600, 572 Calculator

Given Input numbers are 506, 982, 600, 572

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 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

GCD of numbers is the greatest common divisor

So, the GCD (506, 982, 600, 572) = 2.

Given numbers are 506, 982, 600, 572

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 982 are 2 x 491

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 572 are 2 x 2 x 11 x 13

The highest common occurrence is 2¹

Therefore, GCD of 506, 982, 600, 572 is 2.

Given numbers are 506, 982, 600, 572

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

Apply this formula for all numbers.

Step1:

LCM(506, 982) = 248446

GCD(506, 982) = ( 506 x 982 ) / 248446

= 506 / 982

= 506

Step2:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

Step3:

LCM(2, 572) = 572

GCD(2, 572) = ( 2 x 572 ) / 572

= 2 / 572

= 2

So, Greatest Common Divisor of 506, 982, 600, 572 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 351, 316, 276
• GCD of 286, 133, 532, 617
• GCD of 938, 887, 276, 477
• GCD of 472, 910, 782, 685
• GCD of 666, 800, 658, 242

Given numbers are 506, 982, 600, 572
The greatest common divisor of numbers 506, 982, 600, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 982, 600, 572 is 2.

1. What is the GCD of 506, 982, 600, 572?

GCD of given numbers 506, 982, 600, 572 is 2

2. How to calculate the greatest common divisor of 506, 982, 600, 572?

We can find the highest common divisor of 506, 982, 600, 572 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, 982, 600, 572 i.e 2.

3. How can I use the GCD of 506, 982, 600, 572Calculator?

Out the numbers 506, 982, 600, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.