GCD of 500, 829, 685, 201 Calculator

Given Input numbers are 500, 829, 685, 201

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 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

GCD of numbers is the greatest common divisor

So, the GCD (500, 829, 685, 201) = 1.

Given numbers are 500, 829, 685, 201

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 829 are 829

Prime factors of 685 are 5 x 137

Prime factors of 201 are 3 x 67

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

Given numbers are 500, 829, 685, 201

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

Apply this formula for all numbers.

Step1:

LCM(500, 829) = 414500

GCD(500, 829) = ( 500 x 829 ) / 414500

= 500 / 829

= 500

Step2:

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

= 1 / 685

= 1

Step3:

LCM(1, 201) = 201

GCD(1, 201) = ( 1 x 201 ) / 201

= 1 / 201

= 1

So, Greatest Common Divisor of 500, 829, 685, 201 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 740, 146, 723
• GCD of 459, 289, 646, 498
• GCD of 952, 488, 845, 978
• GCD of 716, 715, 905, 278
• GCD of 787, 226, 932, 625

Given numbers are 500, 829, 685, 201
The greatest common divisor of numbers 500, 829, 685, 201 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 829, 685, 201 is 1.

1. What is the GCD of 500, 829, 685, 201?

GCD of given numbers 500, 829, 685, 201 is 1

2. How to calculate the greatest common divisor of 500, 829, 685, 201?

We can find the highest common divisor of 500, 829, 685, 201 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, 829, 685, 201 i.e 1.

3. How can I use the GCD of 500, 829, 685, 201Calculator?

Out the numbers 500, 829, 685, 201 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.