GCD of 820, 725, 512, 774 Calculator

Given Input numbers are 820, 725, 512, 774

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

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 725

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

1, 5, 25, 29, 145, 725

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 820, 725, 512, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 725, 512, 774 is 1.

Therefore, GCD of numbers 820, 725, 512, 774 is 1

Given Input Data is 820, 725, 512, 774

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

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(820, 725) = 118900

GCD(820, 725) = ( 820 x 725 ) / 118900

GCD(820, 725) = 594500 / 118900

GCD(820, 725) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 512

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

LCM(5, 512) = 2560

GCD(5, 512) = ( 5 x 512 ) / 2560

GCD(5, 512) = 2560 / 2560

GCD(5, 512) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 820, 725, 512, 774 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 901, 232, 542
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• GCD of 647, 156, 296, 165
• GCD of 307, 729, 129, 914
• GCD of 307, 569, 907, 933

1. What is the GCD of 820, 725, 512, 774?

GCD of 820, 725, 512, 774 is 1

2. Where do I get the detailed procedure to find GCD of 820, 725, 512, 774?

You can find a detailed procedure to find GCD of 820, 725, 512, 774 on our page.

3. How to find GCD of 820, 725, 512, 774 on a calculator?

You can find the GCD of 820, 725, 512, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.