GCD of 738, 897, 84, 658 Calculator

Given Input numbers are 738, 897, 84, 658

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

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 897

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

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 738, 897, 84, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 897, 84, 658 is 1.

Therefore, GCD of numbers 738, 897, 84, 658 is 1

Given Input Data is 738, 897, 84, 658

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

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

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 84 is 2 x 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(738, 897) = 220662

GCD(738, 897) = ( 738 x 897 ) / 220662

GCD(738, 897) = 661986 / 220662

GCD(738, 897) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 84

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

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

GCD(3, 84) = 252 / 84

GCD(3, 84) = 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 738, 897, 84, 658 is 1

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1. What is the GCD of 738, 897, 84, 658?

GCD of 738, 897, 84, 658 is 1

2. Where do I get the detailed procedure to find GCD of 738, 897, 84, 658?

You can find a detailed procedure to find GCD of 738, 897, 84, 658 on our page.

3. How to find GCD of 738, 897, 84, 658 on a calculator?

You can find the GCD of 738, 897, 84, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.