GCD of 900, 691, 339, 710 Calculator

Given Input numbers are 900, 691, 339, 710

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Greatest Common Divisior

We found the divisors of 900, 691, 339, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 691, 339, 710 is 1.

Therefore, GCD of numbers 900, 691, 339, 710 is 1

Given Input Data is 900, 691, 339, 710

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 691 is 691

Prime Factorization of 339 is 3 x 113

Prime Factorization of 710 is 2 x 5 x 71

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(900, 691) = 621900

GCD(900, 691) = ( 900 x 691 ) / 621900

GCD(900, 691) = 621900 / 621900

GCD(900, 691) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 710

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

LCM(1, 710) = 710

GCD(1, 710) = ( 1 x 710 ) / 710

GCD(1, 710) = 710 / 710

GCD(1, 710) = 1

GCD of 900, 691, 339, 710 is 1

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1. What is the GCD of 900, 691, 339, 710?

GCD of 900, 691, 339, 710 is 1

2. Where do I get the detailed procedure to find GCD of 900, 691, 339, 710?

You can find a detailed procedure to find GCD of 900, 691, 339, 710 on our page.

3. How to find GCD of 900, 691, 339, 710 on a calculator?

You can find the GCD of 900, 691, 339, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.