GCD of 25, 201, 564, 724 Calculator

Given Input numbers are 25, 201, 564, 724

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 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 25, 201, 564, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 201, 564, 724 is 1.

Therefore, GCD of numbers 25, 201, 564, 724 is 1

Given Input Data is 25, 201, 564, 724

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 201 is 3 x 67

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 724 is 2 x 2 x 181

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, 201) = 5025

GCD(25, 201) = ( 25 x 201 ) / 5025

GCD(25, 201) = 5025 / 5025

GCD(25, 201) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 25, 201, 564, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 920, 639, 517
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• GCD of 63, 484, 610, 162
• GCD of 51, 665, 912, 561
• GCD of 89, 289, 903, 345

1. What is the GCD of 25, 201, 564, 724?

GCD of 25, 201, 564, 724 is 1

2. Where do I get the detailed procedure to find GCD of 25, 201, 564, 724?

You can find a detailed procedure to find GCD of 25, 201, 564, 724 on our page.

3. How to find GCD of 25, 201, 564, 724 on a calculator?

You can find the GCD of 25, 201, 564, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.