GCD of 345, 664, 59, 325 Calculator

Given Input numbers are 345, 664, 59, 325

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 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Greatest Common Divisior

We found the divisors of 345, 664, 59, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 664, 59, 325 is 1.

Therefore, GCD of numbers 345, 664, 59, 325 is 1

Given Input Data is 345, 664, 59, 325

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 664 is 2 x 2 x 2 x 83

Prime Factorization of 59 is 59

Prime Factorization of 325 is 5 x 5 x 13

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, 664) = 229080

GCD(345, 664) = ( 345 x 664 ) / 229080

GCD(345, 664) = 229080 / 229080

GCD(345, 664) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 325

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

LCM(1, 325) = 325

GCD(1, 325) = ( 1 x 325 ) / 325

GCD(1, 325) = 325 / 325

GCD(1, 325) = 1

GCD of 345, 664, 59, 325 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 575, 99, 887
• GCD of 992, 621, 48, 902
• GCD of 565, 289, 15, 478
• GCD of 325, 612, 40, 494
• GCD of 911, 647, 30, 494

1. What is the GCD of 345, 664, 59, 325?

GCD of 345, 664, 59, 325 is 1

2. Where do I get the detailed procedure to find GCD of 345, 664, 59, 325?

You can find a detailed procedure to find GCD of 345, 664, 59, 325 on our page.

3. How to find GCD of 345, 664, 59, 325 on a calculator?

You can find the GCD of 345, 664, 59, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.