GCD of 500, 205, 769, 225 Calculator

Given Input numbers are 500, 205, 769, 225

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 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 769 :

The positive integer divisors of 769 that completely divides 769 are.

1, 769

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (500, 205, 769, 225) = 1.

Given numbers are 500, 205, 769, 225

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 205 are 5 x 41

Prime factors of 769 are 769

Prime factors of 225 are 3 x 3 x 5 x 5

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

Given numbers are 500, 205, 769, 225

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

Apply this formula for all numbers.

Step1:

LCM(500, 205) = 20500

GCD(500, 205) = ( 500 x 205 ) / 20500

= 500 / 205

= 500

Step2:

LCM(5, 769) = 3845

GCD(5, 769) = ( 5 x 769 ) / 3845

= 5 / 769

= 5

Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

So, Greatest Common Divisor of 500, 205, 769, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 741, 275, 300
• GCD of 505, 123, 638, 365
• GCD of 298, 819, 633, 756
• GCD of 121, 425, 278, 507
• GCD of 722, 124, 800, 849

Given numbers are 500, 205, 769, 225
The greatest common divisor of numbers 500, 205, 769, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 205, 769, 225 is 1.

1. What is the GCD of 500, 205, 769, 225?

GCD of given numbers 500, 205, 769, 225 is 1

2. How to calculate the greatest common divisor of 500, 205, 769, 225?

We can find the highest common divisor of 500, 205, 769, 225 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, 205, 769, 225 i.e 1.

3. How can I use the GCD of 500, 205, 769, 225Calculator?

Out the numbers 500, 205, 769, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.