GCD of 645, 897, 71, 525 Calculator

Given Input numbers are 645, 897, 71, 525

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

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

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 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 645, 897, 71, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 897, 71, 525 is 1.

Therefore, GCD of numbers 645, 897, 71, 525 is 1

Given Input Data is 645, 897, 71, 525

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

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 71 is 71

Prime Factorization of 525 is 3 x 5 x 5 x 7

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(645, 897) = 192855

GCD(645, 897) = ( 645 x 897 ) / 192855

GCD(645, 897) = 578565 / 192855

GCD(645, 897) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 71

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

LCM(3, 71) = 213

GCD(3, 71) = ( 3 x 71 ) / 213

GCD(3, 71) = 213 / 213

GCD(3, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

GCD of 645, 897, 71, 525 is 1

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1. What is the GCD of 645, 897, 71, 525?

GCD of 645, 897, 71, 525 is 1

2. Where do I get the detailed procedure to find GCD of 645, 897, 71, 525?

You can find a detailed procedure to find GCD of 645, 897, 71, 525 on our page.

3. How to find GCD of 645, 897, 71, 525 on a calculator?

You can find the GCD of 645, 897, 71, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.