GCD of 825, 337, 69 Calculator

Given Input numbers are 825, 337, 69

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

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

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Greatest Common Divisior

We found the divisors of 825, 337, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 337, 69 is 1.

Therefore, GCD of numbers 825, 337, 69 is 1

Given Input Data is 825, 337, 69

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

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

Prime Factorization of 337 is 337

Prime Factorization of 69 is 3 x 23

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(825, 337) = 278025

GCD(825, 337) = ( 825 x 337 ) / 278025

GCD(825, 337) = 278025 / 278025

GCD(825, 337) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

GCD of 825, 337, 69 is 1

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1. What is the GCD of 825, 337, 69?

GCD of 825, 337, 69 is 1

2. Where do I get the detailed procedure to find GCD of 825, 337, 69?

You can find a detailed procedure to find GCD of 825, 337, 69 on our page.

3. How to find GCD of 825, 337, 69 on a calculator?

You can find the GCD of 825, 337, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.