GCD of 295, 531, 953, 699 Calculator

Given Input numbers are 295, 531, 953, 699

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 295, 531, 953, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 531, 953, 699 is 1.

Therefore, GCD of numbers 295, 531, 953, 699 is 1

Given Input Data is 295, 531, 953, 699

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 953 is 953

Prime Factorization of 699 is 3 x 233

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(295, 531) = 2655

GCD(295, 531) = ( 295 x 531 ) / 2655

GCD(295, 531) = 156645 / 2655

GCD(295, 531) = 59

Step2:

Here we consider the GCD from the above i.e. 59 as first number and the next as 953

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

LCM(59, 953) = 56227

GCD(59, 953) = ( 59 x 953 ) / 56227

GCD(59, 953) = 56227 / 56227

GCD(59, 953) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 295, 531, 953, 699 is 1

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1. What is the GCD of 295, 531, 953, 699?

GCD of 295, 531, 953, 699 is 1

2. Where do I get the detailed procedure to find GCD of 295, 531, 953, 699?

You can find a detailed procedure to find GCD of 295, 531, 953, 699 on our page.

3. How to find GCD of 295, 531, 953, 699 on a calculator?

You can find the GCD of 295, 531, 953, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.