GCD of 374, 736, 369, 897 Calculator

Given Input numbers are 374, 736, 369, 897

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 374, 736, 369, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 736, 369, 897 is 1.

Therefore, GCD of numbers 374, 736, 369, 897 is 1

Given Input Data is 374, 736, 369, 897

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 897 is 3 x 13 x 23

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(374, 736) = 137632

GCD(374, 736) = ( 374 x 736 ) / 137632

GCD(374, 736) = 275264 / 137632

GCD(374, 736) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 369

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

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

GCD(2, 369) = 738 / 738

GCD(2, 369) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 897

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

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

GCD(1, 897) = 897 / 897

GCD(1, 897) = 1

GCD of 374, 736, 369, 897 is 1

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1. What is the GCD of 374, 736, 369, 897?

GCD of 374, 736, 369, 897 is 1

2. Where do I get the detailed procedure to find GCD of 374, 736, 369, 897?

You can find a detailed procedure to find GCD of 374, 736, 369, 897 on our page.

3. How to find GCD of 374, 736, 369, 897 on a calculator?

You can find the GCD of 374, 736, 369, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.