GCD of 269, 973, 79, 825 Calculator

Given Input numbers are 269, 973, 79, 825

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

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 269, 973, 79, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 973, 79, 825 is 1.

Therefore, GCD of numbers 269, 973, 79, 825 is 1

Given Input Data is 269, 973, 79, 825

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

Prime Factorization of 269 is 269

Prime Factorization of 973 is 7 x 139

Prime Factorization of 79 is 79

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(269, 973) = 261737

GCD(269, 973) = ( 269 x 973 ) / 261737

GCD(269, 973) = 261737 / 261737

GCD(269, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 79

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

LCM(1, 79) = 79

GCD(1, 79) = ( 1 x 79 ) / 79

GCD(1, 79) = 79 / 79

GCD(1, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 269, 973, 79, 825 is 1

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1. What is the GCD of 269, 973, 79, 825?

GCD of 269, 973, 79, 825 is 1

2. Where do I get the detailed procedure to find GCD of 269, 973, 79, 825?

You can find a detailed procedure to find GCD of 269, 973, 79, 825 on our page.

3. How to find GCD of 269, 973, 79, 825 on a calculator?

You can find the GCD of 269, 973, 79, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.