GCD of 953, 523, 961, 475 Calculator

Given Input numbers are 953, 523, 961, 475

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

Divisors of 953

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

1, 953

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 953, 523, 961, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 953, 523, 961, 475 is 1.

Therefore, GCD of numbers 953, 523, 961, 475 is 1

Given Input Data is 953, 523, 961, 475

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

Prime Factorization of 953 is 953

Prime Factorization of 523 is 523

Prime Factorization of 961 is 31 x 31

Prime Factorization of 475 is 5 x 5 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(953, 523) = 498419

GCD(953, 523) = ( 953 x 523 ) / 498419

GCD(953, 523) = 498419 / 498419

GCD(953, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

GCD of 953, 523, 961, 475 is 1

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• GCD of 373, 611, 957, 656
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1. What is the GCD of 953, 523, 961, 475?

GCD of 953, 523, 961, 475 is 1

2. Where do I get the detailed procedure to find GCD of 953, 523, 961, 475?

You can find a detailed procedure to find GCD of 953, 523, 961, 475 on our page.

3. How to find GCD of 953, 523, 961, 475 on a calculator?

You can find the GCD of 953, 523, 961, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.