GCD of 735, 589, 25, 266 Calculator

Given Input numbers are 735, 589, 25, 266

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 25

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

1, 5, 25

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 735, 589, 25, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 589, 25, 266 is 1.

Therefore, GCD of numbers 735, 589, 25, 266 is 1

Given Input Data is 735, 589, 25, 266

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 589 is 19 x 31

Prime Factorization of 25 is 5 x 5

Prime Factorization of 266 is 2 x 7 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(735, 589) = 432915

GCD(735, 589) = ( 735 x 589 ) / 432915

GCD(735, 589) = 432915 / 432915

GCD(735, 589) = 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 266

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

LCM(1, 266) = 266

GCD(1, 266) = ( 1 x 266 ) / 266

GCD(1, 266) = 266 / 266

GCD(1, 266) = 1

GCD of 735, 589, 25, 266 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 257, 62, 166
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1. What is the GCD of 735, 589, 25, 266?

GCD of 735, 589, 25, 266 is 1

2. Where do I get the detailed procedure to find GCD of 735, 589, 25, 266?

You can find a detailed procedure to find GCD of 735, 589, 25, 266 on our page.

3. How to find GCD of 735, 589, 25, 266 on a calculator?

You can find the GCD of 735, 589, 25, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.