GCD of 961, 449, 851, 451 Calculator

Given Input numbers are 961, 449, 851, 451

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 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Greatest Common Divisior

We found the divisors of 961, 449, 851, 451 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 449, 851, 451 is 1.

Therefore, GCD of numbers 961, 449, 851, 451 is 1

Given Input Data is 961, 449, 851, 451

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 449 is 449

Prime Factorization of 851 is 23 x 37

Prime Factorization of 451 is 11 x 41

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, 449) = 431489

GCD(961, 449) = ( 961 x 449 ) / 431489

GCD(961, 449) = 431489 / 431489

GCD(961, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 851

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

LCM(1, 851) = 851

GCD(1, 851) = ( 1 x 851 ) / 851

GCD(1, 851) = 851 / 851

GCD(1, 851) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 451

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

LCM(1, 451) = 451

GCD(1, 451) = ( 1 x 451 ) / 451

GCD(1, 451) = 451 / 451

GCD(1, 451) = 1

GCD of 961, 449, 851, 451 is 1

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1. What is the GCD of 961, 449, 851, 451?

GCD of 961, 449, 851, 451 is 1

2. Where do I get the detailed procedure to find GCD of 961, 449, 851, 451?

You can find a detailed procedure to find GCD of 961, 449, 851, 451 on our page.

3. How to find GCD of 961, 449, 851, 451 on a calculator?

You can find the GCD of 961, 449, 851, 451 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.