GCD of 789, 525, 895, 675 Calculator

Given Input numbers are 789, 525, 895, 675

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

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

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

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

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

Greatest Common Divisior

We found the divisors of 789, 525, 895, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 525, 895, 675 is 1.

Therefore, GCD of numbers 789, 525, 895, 675 is 1

Given Input Data is 789, 525, 895, 675

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

Prime Factorization of 789 is 3 x 263

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

Prime Factorization of 895 is 5 x 179

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

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(789, 525) = 138075

GCD(789, 525) = ( 789 x 525 ) / 138075

GCD(789, 525) = 414225 / 138075

GCD(789, 525) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 895

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

LCM(3, 895) = 2685

GCD(3, 895) = ( 3 x 895 ) / 2685

GCD(3, 895) = 2685 / 2685

GCD(3, 895) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 789, 525, 895, 675 is 1

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1. What is the GCD of 789, 525, 895, 675?

GCD of 789, 525, 895, 675 is 1

2. Where do I get the detailed procedure to find GCD of 789, 525, 895, 675?

You can find a detailed procedure to find GCD of 789, 525, 895, 675 on our page.

3. How to find GCD of 789, 525, 895, 675 on a calculator?

You can find the GCD of 789, 525, 895, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.