GCD of 500, 512, 574, 542 Calculator

Given Input numbers are 500, 512, 574, 542

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

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

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

GCD of numbers is the greatest common divisor

So, the GCD (500, 512, 574, 542) = 2.

Given numbers are 500, 512, 574, 542

The list of prime factors of all numbers are

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

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 574 are 2 x 7 x 41

Prime factors of 542 are 2 x 271

The highest common occurrence is 2¹

Therefore, GCD of 500, 512, 574, 542 is 2.

Given numbers are 500, 512, 574, 542

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

Apply this formula for all numbers.

Step1:

LCM(500, 512) = 64000

GCD(500, 512) = ( 500 x 512 ) / 64000

= 500 / 512

= 500

Step2:

LCM(4, 574) = 1148

GCD(4, 574) = ( 4 x 574 ) / 1148

= 4 / 574

= 4

Step3:

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

= 2 / 542

= 2

So, Greatest Common Divisor of 500, 512, 574, 542 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 507, 925, 128, 969
• GCD of 170, 327, 968, 168
• GCD of 483, 965, 976, 296
• GCD of 760, 746, 330, 751
• GCD of 427, 168, 845, 891

Given numbers are 500, 512, 574, 542
The greatest common divisor of numbers 500, 512, 574, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 512, 574, 542 is 2.

1. What is the GCD of 500, 512, 574, 542?

GCD of given numbers 500, 512, 574, 542 is 2

2. How to calculate the greatest common divisor of 500, 512, 574, 542?

We can find the highest common divisor of 500, 512, 574, 542 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 500, 512, 574, 542 i.e 2.

3. How can I use the GCD of 500, 512, 574, 542Calculator?

Out the numbers 500, 512, 574, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.