GCD of 500, 384, 640, 713 Calculator

Given Input numbers are 500, 384, 640, 713

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 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

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

GCD of numbers is the greatest common divisor

So, the GCD (500, 384, 640, 713) = 1.

Given numbers are 500, 384, 640, 713

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 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 713 are 23 x 31

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 500, 384, 640, 713

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

Apply this formula for all numbers.

Step1:

LCM(500, 384) = 48000

GCD(500, 384) = ( 500 x 384 ) / 48000

= 500 / 384

= 500

Step2:

LCM(4, 640) = 640

GCD(4, 640) = ( 4 x 640 ) / 640

= 4 / 640

= 4

Step3:

LCM(4, 713) = 2852

GCD(4, 713) = ( 4 x 713 ) / 2852

= 4 / 713

= 4

So, Greatest Common Divisor of 500, 384, 640, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 816, 244, 950
• GCD of 302, 893, 833, 131
• GCD of 892, 264, 595, 711
• GCD of 714, 503, 698, 312
• GCD of 356, 209, 274, 565

Given numbers are 500, 384, 640, 713
The greatest common divisor of numbers 500, 384, 640, 713 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 384, 640, 713 is 1.

1. What is the GCD of 500, 384, 640, 713?

GCD of given numbers 500, 384, 640, 713 is 1

2. How to calculate the greatest common divisor of 500, 384, 640, 713?

We can find the highest common divisor of 500, 384, 640, 713 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, 384, 640, 713 i.e 1.

3. How can I use the GCD of 500, 384, 640, 713Calculator?

Out the numbers 500, 384, 640, 713 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.