GCD of 500, 717, 770, 500 Calculator

Given Input numbers are 500, 717, 770, 500

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 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

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 (500, 717, 770, 500) = 1.

Given numbers are 500, 717, 770, 500

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 717 are 3 x 239

Prime factors of 770 are 2 x 5 x 7 x 11

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 500, 717, 770, 500

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

Apply this formula for all numbers.

Step1:

LCM(500, 717) = 358500

GCD(500, 717) = ( 500 x 717 ) / 358500

= 500 / 717

= 500

Step2:

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

= 1 / 770

= 1

Step3:

LCM(1, 500) = 500

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

= 1 / 500

= 1

So, Greatest Common Divisor of 500, 717, 770, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 821, 379, 723
• GCD of 443, 573, 841, 111
• GCD of 712, 203, 174, 174
• GCD of 490, 102, 998, 566
• GCD of 478, 186, 936, 136

Given numbers are 500, 717, 770, 500
The greatest common divisor of numbers 500, 717, 770, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 717, 770, 500 is 1.

1. What is the GCD of 500, 717, 770, 500?

GCD of given numbers 500, 717, 770, 500 is 1

2. How to calculate the greatest common divisor of 500, 717, 770, 500?

We can find the highest common divisor of 500, 717, 770, 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 500, 717, 770, 500 i.e 1.

3. How can I use the GCD of 500, 717, 770, 500Calculator?

Out the numbers 500, 717, 770, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.