GCD of 74, 806, 356, 397 Calculator

Given Input numbers are 74, 806, 356, 397

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 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 74, 806, 356, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 806, 356, 397 is 1.

Therefore, GCD of numbers 74, 806, 356, 397 is 1

Given Input Data is 74, 806, 356, 397

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 397 is 397

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, 806) = 29822

GCD(74, 806) = ( 74 x 806 ) / 29822

GCD(74, 806) = 59644 / 29822

GCD(74, 806) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 356

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

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

GCD(2, 356) = 712 / 356

GCD(2, 356) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 397

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

LCM(2, 397) = 794

GCD(2, 397) = ( 2 x 397 ) / 794

GCD(2, 397) = 794 / 794

GCD(2, 397) = 1

GCD of 74, 806, 356, 397 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 56, 675, 722, 116
• GCD of 13, 130, 327, 771
• GCD of 19, 840, 661, 510
• GCD of 39, 679, 620, 130
• GCD of 54, 181, 298, 734

1. What is the GCD of 74, 806, 356, 397?

GCD of 74, 806, 356, 397 is 1

2. Where do I get the detailed procedure to find GCD of 74, 806, 356, 397?

You can find a detailed procedure to find GCD of 74, 806, 356, 397 on our page.

3. How to find GCD of 74, 806, 356, 397 on a calculator?

You can find the GCD of 74, 806, 356, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.