GCD of 500, 696, 384 Calculator

Given Input numbers are 500, 696, 384

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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (500, 696, 384) = 4.

Given numbers are 500, 696, 384

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 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2²

Therefore, GCD of 500, 696, 384 is 4.

Given numbers are 500, 696, 384

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

Apply this formula for all numbers.

Step1:

LCM(500, 696) = 87000

GCD(500, 696) = ( 500 x 696 ) / 87000

= 500 / 696

= 500

Step2:

LCM(4, 384) = 384

GCD(4, 384) = ( 4 x 384 ) / 384

= 4 / 384

= 4

So, Greatest Common Divisor of 500, 696, 384 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 418, 531
• GCD of 276, 907, 243
• GCD of 853, 977, 290
• GCD of 101, 501, 500
• GCD of 887, 883, 904

Given numbers are 500, 696, 384
The greatest common divisor of numbers 500, 696, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 696, 384 is 4.

1. What is the GCD of 500, 696, 384?

GCD of given numbers 500, 696, 384 is 4

2. How to calculate the greatest common divisor of 500, 696, 384?

We can find the highest common divisor of 500, 696, 384 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, 696, 384 i.e 4.

3. How can I use the GCD of 500, 696, 384Calculator?

Out the numbers 500, 696, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.