GCD of 408, 846, 572, 500 Calculator

Given Input numbers are 408, 846, 572, 500

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (408, 846, 572, 500) = 2.

Given numbers are 408, 846, 572, 500

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 846 are 2 x 3 x 3 x 47

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

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 408, 846, 572, 500 is 2.

Given numbers are 408, 846, 572, 500

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

Apply this formula for all numbers.

Step1:

LCM(408, 846) = 57528

GCD(408, 846) = ( 408 x 846 ) / 57528

= 408 / 846

= 408

Step2:

LCM(6, 572) = 1716

GCD(6, 572) = ( 6 x 572 ) / 1716

= 6 / 572

= 6

Step3:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

So, Greatest Common Divisor of 408, 846, 572, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 849, 598, 728
• GCD of 515, 149, 916, 192
• GCD of 617, 442, 692, 465
• GCD of 599, 978, 888, 903
• GCD of 463, 229, 482, 759

Given numbers are 408, 846, 572, 500
The greatest common divisor of numbers 408, 846, 572, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 846, 572, 500 is 2.

1. What is the GCD of 408, 846, 572, 500?

GCD of given numbers 408, 846, 572, 500 is 2

2. How to calculate the greatest common divisor of 408, 846, 572, 500?

We can find the highest common divisor of 408, 846, 572, 500 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 408, 846, 572, 500 i.e 2.

3. How can I use the GCD of 408, 846, 572, 500Calculator?

Out the numbers 408, 846, 572, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.