GCD of 687, 713, 906, 500 Calculator

Given Input numbers are 687, 713, 906, 500

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

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 713 :

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

1, 23, 31, 713

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

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 (687, 713, 906, 500) = 1.

Given numbers are 687, 713, 906, 500

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 713 are 23 x 31

Prime factors of 906 are 2 x 3 x 151

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

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

Given numbers are 687, 713, 906, 500

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

Apply this formula for all numbers.

Step1:

LCM(687, 713) = 489831

GCD(687, 713) = ( 687 x 713 ) / 489831

= 687 / 713

= 687

Step2:

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

= 1 / 906

= 1

Step3:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1

So, Greatest Common Divisor of 687, 713, 906, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 345, 951, 182, 876
• GCD of 801, 351, 856, 660
• GCD of 338, 311, 694, 568
• GCD of 384, 432, 554, 430
• GCD of 385, 336, 860, 385

Given numbers are 687, 713, 906, 500
The greatest common divisor of numbers 687, 713, 906, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 713, 906, 500 is 1.

1. What is the GCD of 687, 713, 906, 500?

GCD of given numbers 687, 713, 906, 500 is 1

2. How to calculate the greatest common divisor of 687, 713, 906, 500?

We can find the highest common divisor of 687, 713, 906, 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 687, 713, 906, 500 i.e 1.

3. How can I use the GCD of 687, 713, 906, 500Calculator?

Out the numbers 687, 713, 906, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.