GCD of 74, 821, 656, 363 Calculator

Given Input numbers are 74, 821, 656, 363

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 74, 821, 656, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 821, 656, 363 is 1.

Therefore, GCD of numbers 74, 821, 656, 363 is 1

Given Input Data is 74, 821, 656, 363

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 821 is 821

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 363 is 3 x 11 x 11

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(74, 821) = 60754

GCD(74, 821) = ( 74 x 821 ) / 60754

GCD(74, 821) = 60754 / 60754

GCD(74, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 74, 821, 656, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 320, 703, 839
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• GCD of 81, 249, 175, 956
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• GCD of 51, 868, 344, 658

1. What is the GCD of 74, 821, 656, 363?

GCD of 74, 821, 656, 363 is 1

2. Where do I get the detailed procedure to find GCD of 74, 821, 656, 363?

You can find a detailed procedure to find GCD of 74, 821, 656, 363 on our page.

3. How to find GCD of 74, 821, 656, 363 on a calculator?

You can find the GCD of 74, 821, 656, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.