GCD of 397, 738, 674, 852 Calculator

Given Input numbers are 397, 738, 674, 852

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

Divisors of 397

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

1, 397

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 397, 738, 674, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 738, 674, 852 is 1.

Therefore, GCD of numbers 397, 738, 674, 852 is 1

Given Input Data is 397, 738, 674, 852

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

Prime Factorization of 397 is 397

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 674 is 2 x 337

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(397, 738) = 292986

GCD(397, 738) = ( 397 x 738 ) / 292986

GCD(397, 738) = 292986 / 292986

GCD(397, 738) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 397, 738, 674, 852 is 1

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1. What is the GCD of 397, 738, 674, 852?

GCD of 397, 738, 674, 852 is 1

2. Where do I get the detailed procedure to find GCD of 397, 738, 674, 852?

You can find a detailed procedure to find GCD of 397, 738, 674, 852 on our page.

3. How to find GCD of 397, 738, 674, 852 on a calculator?

You can find the GCD of 397, 738, 674, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.