GCD of 500, 729, 710, 200 Calculator

Given Input numbers are 500, 729, 710, 200

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 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (500, 729, 710, 200) = 1.

Given numbers are 500, 729, 710, 200

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 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 710 are 2 x 5 x 71

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

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

Given numbers are 500, 729, 710, 200

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

Apply this formula for all numbers.

Step1:

LCM(500, 729) = 364500

GCD(500, 729) = ( 500 x 729 ) / 364500

= 500 / 729

= 500

Step2:

LCM(1, 710) = 710

GCD(1, 710) = ( 1 x 710 ) / 710

= 1 / 710

= 1

Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

So, Greatest Common Divisor of 500, 729, 710, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 127, 994, 583, 887
• GCD of 841, 361, 783, 772
• GCD of 707, 960, 626, 807
• GCD of 768, 930, 800, 207
• GCD of 137, 477, 491, 328

Given numbers are 500, 729, 710, 200
The greatest common divisor of numbers 500, 729, 710, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 729, 710, 200 is 1.

1. What is the GCD of 500, 729, 710, 200?

GCD of given numbers 500, 729, 710, 200 is 1

2. How to calculate the greatest common divisor of 500, 729, 710, 200?

We can find the highest common divisor of 500, 729, 710, 200 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, 729, 710, 200 i.e 1.

3. How can I use the GCD of 500, 729, 710, 200Calculator?

Out the numbers 500, 729, 710, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.