GCD of 305, 125, 522, 225 Calculator

Given Input numbers are 305, 125, 522, 225

In the factoring method, we have to find the divisors of all numbers

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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 (305, 125, 522, 225) = 1.

Given numbers are 305, 125, 522, 225

The list of prime factors of all numbers are

Prime factors of 305 are 5 x 61

Prime factors of 125 are 5 x 5 x 5

Prime factors of 522 are 2 x 3 x 3 x 29

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 305, 125, 522, 225

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

Apply this formula for all numbers.

Step1:

LCM(305, 125) = 7625

GCD(305, 125) = ( 305 x 125 ) / 7625

= 305 / 125

= 305

Step2:

LCM(5, 522) = 2610

GCD(5, 522) = ( 5 x 522 ) / 2610

= 5 / 522

= 5

Step3:

LCM(1, 225) = 225

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

= 1 / 225

= 1

So, Greatest Common Divisor of 305, 125, 522, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 596, 684, 840
• GCD of 457, 225, 221, 256
• GCD of 967, 178, 656, 917
• GCD of 868, 277, 698, 385
• GCD of 554, 140, 820, 925

Given numbers are 305, 125, 522, 225
The greatest common divisor of numbers 305, 125, 522, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 305, 125, 522, 225 is 1.

1. What is the GCD of 305, 125, 522, 225?

GCD of given numbers 305, 125, 522, 225 is 1

2. How to calculate the greatest common divisor of 305, 125, 522, 225?

We can find the highest common divisor of 305, 125, 522, 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 305, 125, 522, 225 i.e 1.

3. How can I use the GCD of 305, 125, 522, 225Calculator?

Out the numbers 305, 125, 522, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.