GCD of 824, 461, 25, 772 Calculator

Given Input numbers are 824, 461, 25, 772

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 25

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

1, 5, 25

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 824, 461, 25, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 461, 25, 772 is 1.

Therefore, GCD of numbers 824, 461, 25, 772 is 1

Given Input Data is 824, 461, 25, 772

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 461 is 461

Prime Factorization of 25 is 5 x 5

Prime Factorization of 772 is 2 x 2 x 193

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(824, 461) = 379864

GCD(824, 461) = ( 824 x 461 ) / 379864

GCD(824, 461) = 379864 / 379864

GCD(824, 461) = 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 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 824, 461, 25, 772 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 173, 89, 349
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• GCD of 657, 203, 54, 759
• GCD of 998, 919, 12, 513
• GCD of 999, 375, 74, 818

1. What is the GCD of 824, 461, 25, 772?

GCD of 824, 461, 25, 772 is 1

2. Where do I get the detailed procedure to find GCD of 824, 461, 25, 772?

You can find a detailed procedure to find GCD of 824, 461, 25, 772 on our page.

3. How to find GCD of 824, 461, 25, 772 on a calculator?

You can find the GCD of 824, 461, 25, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.