GCD of 735, 571, 969 Calculator

Given Input numbers are 735, 571, 969

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 735, 571, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 571, 969 is 1.

Therefore, GCD of numbers 735, 571, 969 is 1

Given Input Data is 735, 571, 969

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 571 is 571

Prime Factorization of 969 is 3 x 17 x 19

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(735, 571) = 419685

GCD(735, 571) = ( 735 x 571 ) / 419685

GCD(735, 571) = 419685 / 419685

GCD(735, 571) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 735, 571, 969 is 1

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1. What is the GCD of 735, 571, 969?

GCD of 735, 571, 969 is 1

2. Where do I get the detailed procedure to find GCD of 735, 571, 969?

You can find a detailed procedure to find GCD of 735, 571, 969 on our page.

3. How to find GCD of 735, 571, 969 on a calculator?

You can find the GCD of 735, 571, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.