GCD of 187, 460, 225, 289 Calculator

Given Input numbers are 187, 460, 225, 289

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

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 225 :

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

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (187, 460, 225, 289) = 1.

Given numbers are 187, 460, 225, 289

The list of prime factors of all numbers are

Prime factors of 187 are 11 x 17

Prime factors of 460 are 2 x 2 x 5 x 23

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

Prime factors of 289 are 17 x 17

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

Given numbers are 187, 460, 225, 289

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

Apply this formula for all numbers.

Step1:

LCM(187, 460) = 86020

GCD(187, 460) = ( 187 x 460 ) / 86020

= 187 / 460

= 187

Step2:

LCM(1, 225) = 225

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

= 1 / 225

= 1

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 187, 460, 225, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 789, 687, 542
• GCD of 241, 522, 590, 771
• GCD of 764, 123, 241, 468
• GCD of 711, 743, 269, 403
• GCD of 150, 815, 273, 899

Given numbers are 187, 460, 225, 289
The greatest common divisor of numbers 187, 460, 225, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 187, 460, 225, 289 is 1.

1. What is the GCD of 187, 460, 225, 289?

GCD of given numbers 187, 460, 225, 289 is 1

2. How to calculate the greatest common divisor of 187, 460, 225, 289?

We can find the highest common divisor of 187, 460, 225, 289 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 187, 460, 225, 289 i.e 1.

3. How can I use the GCD of 187, 460, 225, 289Calculator?

Out the numbers 187, 460, 225, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.