GCD of 399, 821, 57, 758 Calculator

Given Input numbers are 399, 821, 57, 758

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 821

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

1, 821

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 399, 821, 57, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 821, 57, 758 is 1.

Therefore, GCD of numbers 399, 821, 57, 758 is 1

Given Input Data is 399, 821, 57, 758

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 821 is 821

Prime Factorization of 57 is 3 x 19

Prime Factorization of 758 is 2 x 379

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(399, 821) = 327579

GCD(399, 821) = ( 399 x 821 ) / 327579

GCD(399, 821) = 327579 / 327579

GCD(399, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 399, 821, 57, 758 is 1

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1. What is the GCD of 399, 821, 57, 758?

GCD of 399, 821, 57, 758 is 1

2. Where do I get the detailed procedure to find GCD of 399, 821, 57, 758?

You can find a detailed procedure to find GCD of 399, 821, 57, 758 on our page.

3. How to find GCD of 399, 821, 57, 758 on a calculator?

You can find the GCD of 399, 821, 57, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.