GCD of 500, 725, 566, 182 Calculator

Given Input numbers are 500, 725, 566, 182

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 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

GCD of numbers is the greatest common divisor

So, the GCD (500, 725, 566, 182) = 1.

Given numbers are 500, 725, 566, 182

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 725 are 5 x 5 x 29

Prime factors of 566 are 2 x 283

Prime factors of 182 are 2 x 7 x 13

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

Given numbers are 500, 725, 566, 182

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

Apply this formula for all numbers.

Step1:

LCM(500, 725) = 14500

GCD(500, 725) = ( 500 x 725 ) / 14500

= 500 / 725

= 500

Step2:

LCM(25, 566) = 14150

GCD(25, 566) = ( 25 x 566 ) / 14150

= 25 / 566

= 25

Step3:

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

= 1 / 182

= 1

So, Greatest Common Divisor of 500, 725, 566, 182 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 741, 111, 807
• GCD of 308, 625, 365, 431
• GCD of 925, 529, 640, 389
• GCD of 357, 669, 336, 443
• GCD of 211, 360, 876, 525

Given numbers are 500, 725, 566, 182
The greatest common divisor of numbers 500, 725, 566, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 725, 566, 182 is 1.

1. What is the GCD of 500, 725, 566, 182?

GCD of given numbers 500, 725, 566, 182 is 1

2. How to calculate the greatest common divisor of 500, 725, 566, 182?

We can find the highest common divisor of 500, 725, 566, 182 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, 725, 566, 182 i.e 1.

3. How can I use the GCD of 500, 725, 566, 182Calculator?

Out the numbers 500, 725, 566, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.