GCD of 25, 768, 820, 511 Calculator

Given Input numbers are 25, 768, 820, 511

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 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Greatest Common Divisior

We found the divisors of 25, 768, 820, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 768, 820, 511 is 1.

Therefore, GCD of numbers 25, 768, 820, 511 is 1

Given Input Data is 25, 768, 820, 511

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 511 is 7 x 73

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, 768) = 19200

GCD(25, 768) = ( 25 x 768 ) / 19200

GCD(25, 768) = 19200 / 19200

GCD(25, 768) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 511

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

LCM(1, 511) = 511

GCD(1, 511) = ( 1 x 511 ) / 511

GCD(1, 511) = 511 / 511

GCD(1, 511) = 1

GCD of 25, 768, 820, 511 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 258, 438, 426
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• GCD of 78, 916, 458, 114
• GCD of 75, 119, 905, 983
• GCD of 87, 595, 819, 301

1. What is the GCD of 25, 768, 820, 511?

GCD of 25, 768, 820, 511 is 1

2. Where do I get the detailed procedure to find GCD of 25, 768, 820, 511?

You can find a detailed procedure to find GCD of 25, 768, 820, 511 on our page.

3. How to find GCD of 25, 768, 820, 511 on a calculator?

You can find the GCD of 25, 768, 820, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.