GCD of 897, 723, 42, 658 Calculator

Given Input numbers are 897, 723, 42, 658

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

Divisors of 897

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

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 897, 723, 42, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 723, 42, 658 is 1.

Therefore, GCD of numbers 897, 723, 42, 658 is 1

Given Input Data is 897, 723, 42, 658

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

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 723 is 3 x 241

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 658 is 2 x 7 x 47

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(897, 723) = 216177

GCD(897, 723) = ( 897 x 723 ) / 216177

GCD(897, 723) = 648531 / 216177

GCD(897, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 658

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

LCM(3, 658) = 1974

GCD(3, 658) = ( 3 x 658 ) / 1974

GCD(3, 658) = 1974 / 1974

GCD(3, 658) = 1

GCD of 897, 723, 42, 658 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 223, 72, 331
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• GCD of 740, 823, 75, 741

1. What is the GCD of 897, 723, 42, 658?

GCD of 897, 723, 42, 658 is 1

2. Where do I get the detailed procedure to find GCD of 897, 723, 42, 658?

You can find a detailed procedure to find GCD of 897, 723, 42, 658 on our page.

3. How to find GCD of 897, 723, 42, 658 on a calculator?

You can find the GCD of 897, 723, 42, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.