GCD of 25, 642, 321, 725 Calculator

Given Input numbers are 25, 642, 321, 725

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

Divisors of 25

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

1, 5, 25

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 25, 642, 321, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 642, 321, 725 is 1.

Therefore, GCD of numbers 25, 642, 321, 725 is 1

Given Input Data is 25, 642, 321, 725

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 321 is 3 x 107

Prime Factorization of 725 is 5 x 5 x 29

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(25, 642) = 16050

GCD(25, 642) = ( 25 x 642 ) / 16050

GCD(25, 642) = 16050 / 16050

GCD(25, 642) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 25, 642, 321, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 393, 268, 191
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• GCD of 56, 314, 672, 956
• GCD of 84, 608, 638, 232
• GCD of 28, 297, 141, 245

1. What is the GCD of 25, 642, 321, 725?

GCD of 25, 642, 321, 725 is 1

2. Where do I get the detailed procedure to find GCD of 25, 642, 321, 725?

You can find a detailed procedure to find GCD of 25, 642, 321, 725 on our page.

3. How to find GCD of 25, 642, 321, 725 on a calculator?

You can find the GCD of 25, 642, 321, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.