GCD of 345, 728, 25, 456 Calculator

Given Input numbers are 345, 728, 25, 456

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 345, 728, 25, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 728, 25, 456 is 1.

Therefore, GCD of numbers 345, 728, 25, 456 is 1

Given Input Data is 345, 728, 25, 456

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 25 is 5 x 5

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(345, 728) = 251160

GCD(345, 728) = ( 345 x 728 ) / 251160

GCD(345, 728) = 251160 / 251160

GCD(345, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 345, 728, 25, 456 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 479, 49, 277
• GCD of 291, 524, 36, 923
• GCD of 474, 601, 43, 323
• GCD of 294, 529, 43, 159
• GCD of 356, 898, 49, 891

1. What is the GCD of 345, 728, 25, 456?

GCD of 345, 728, 25, 456 is 1

2. Where do I get the detailed procedure to find GCD of 345, 728, 25, 456?

You can find a detailed procedure to find GCD of 345, 728, 25, 456 on our page.

3. How to find GCD of 345, 728, 25, 456 on a calculator?

You can find the GCD of 345, 728, 25, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.