GCD of 628, 474, 15, 897 Calculator

Given Input numbers are 628, 474, 15, 897

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 628, 474, 15, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 474, 15, 897 is 1.

Therefore, GCD of numbers 628, 474, 15, 897 is 1

Given Input Data is 628, 474, 15, 897

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 15 is 3 x 5

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(628, 474) = 148836

GCD(628, 474) = ( 628 x 474 ) / 148836

GCD(628, 474) = 297672 / 148836

GCD(628, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 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 628, 474, 15, 897 is 1

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1. What is the GCD of 628, 474, 15, 897?

GCD of 628, 474, 15, 897 is 1

2. Where do I get the detailed procedure to find GCD of 628, 474, 15, 897?

You can find a detailed procedure to find GCD of 628, 474, 15, 897 on our page.

3. How to find GCD of 628, 474, 15, 897 on a calculator?

You can find the GCD of 628, 474, 15, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.