GCD of 675, 897, 613, 837 Calculator

Given Input numbers are 675, 897, 613, 837

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Greatest Common Divisior

We found the divisors of 675, 897, 613, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 897, 613, 837 is 1.

Therefore, GCD of numbers 675, 897, 613, 837 is 1

Given Input Data is 675, 897, 613, 837

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 613 is 613

Prime Factorization of 837 is 3 x 3 x 3 x 31

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(675, 897) = 201825

GCD(675, 897) = ( 675 x 897 ) / 201825

GCD(675, 897) = 605475 / 201825

GCD(675, 897) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 613

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

LCM(3, 613) = 1839

GCD(3, 613) = ( 3 x 613 ) / 1839

GCD(3, 613) = 1839 / 1839

GCD(3, 613) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 837

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

LCM(1, 837) = 837

GCD(1, 837) = ( 1 x 837 ) / 837

GCD(1, 837) = 837 / 837

GCD(1, 837) = 1

GCD of 675, 897, 613, 837 is 1

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1. What is the GCD of 675, 897, 613, 837?

GCD of 675, 897, 613, 837 is 1

2. Where do I get the detailed procedure to find GCD of 675, 897, 613, 837?

You can find a detailed procedure to find GCD of 675, 897, 613, 837 on our page.

3. How to find GCD of 675, 897, 613, 837 on a calculator?

You can find the GCD of 675, 897, 613, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.