GCD of 83, 299, 744, 961 Calculator

Given Input numbers are 83, 299, 744, 961

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 961

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

1, 31, 961

Greatest Common Divisior

We found the divisors of 83, 299, 744, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 299, 744, 961 is 1.

Therefore, GCD of numbers 83, 299, 744, 961 is 1

Given Input Data is 83, 299, 744, 961

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

Prime Factorization of 83 is 83

Prime Factorization of 299 is 13 x 23

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 961 is 31 x 31

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(83, 299) = 24817

GCD(83, 299) = ( 83 x 299 ) / 24817

GCD(83, 299) = 24817 / 24817

GCD(83, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

Step3:

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

GCD of 83, 299, 744, 961 is 1

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1. What is the GCD of 83, 299, 744, 961?

GCD of 83, 299, 744, 961 is 1

2. Where do I get the detailed procedure to find GCD of 83, 299, 744, 961?

You can find a detailed procedure to find GCD of 83, 299, 744, 961 on our page.

3. How to find GCD of 83, 299, 744, 961 on a calculator?

You can find the GCD of 83, 299, 744, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.