GCD of 25, 965, 724, 563 Calculator

Given Input numbers are 25, 965, 724, 563

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 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 25, 965, 724, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 965, 724, 563 is 1.

Therefore, GCD of numbers 25, 965, 724, 563 is 1

Given Input Data is 25, 965, 724, 563

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 965 is 5 x 193

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 563 is 563

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, 965) = 4825

GCD(25, 965) = ( 25 x 965 ) / 4825

GCD(25, 965) = 24125 / 4825

GCD(25, 965) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 724

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

LCM(5, 724) = 3620

GCD(5, 724) = ( 5 x 724 ) / 3620

GCD(5, 724) = 3620 / 3620

GCD(5, 724) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 25, 965, 724, 563 is 1

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• GCD of 35, 329, 122, 733
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• GCD of 23, 529, 784, 522

1. What is the GCD of 25, 965, 724, 563?

GCD of 25, 965, 724, 563 is 1

2. Where do I get the detailed procedure to find GCD of 25, 965, 724, 563?

You can find a detailed procedure to find GCD of 25, 965, 724, 563 on our page.

3. How to find GCD of 25, 965, 724, 563 on a calculator?

You can find the GCD of 25, 965, 724, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.