GCD of 961, 538, 75, 423 Calculator

Given Input numbers are 961, 538, 75, 423

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

Divisors of 961

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

1, 31, 961

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 961, 538, 75, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 538, 75, 423 is 1.

Therefore, GCD of numbers 961, 538, 75, 423 is 1

Given Input Data is 961, 538, 75, 423

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 538 is 2 x 269

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 423 is 3 x 3 x 47

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(961, 538) = 517018

GCD(961, 538) = ( 961 x 538 ) / 517018

GCD(961, 538) = 517018 / 517018

GCD(961, 538) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 423

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

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

GCD(1, 423) = 423 / 423

GCD(1, 423) = 1

GCD of 961, 538, 75, 423 is 1

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1. What is the GCD of 961, 538, 75, 423?

GCD of 961, 538, 75, 423 is 1

2. Where do I get the detailed procedure to find GCD of 961, 538, 75, 423?

You can find a detailed procedure to find GCD of 961, 538, 75, 423 on our page.

3. How to find GCD of 961, 538, 75, 423 on a calculator?

You can find the GCD of 961, 538, 75, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.