GCD of 961, 298, 89, 642 Calculator

Given Input numbers are 961, 298, 89, 642

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 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 961, 298, 89, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 298, 89, 642 is 1.

Therefore, GCD of numbers 961, 298, 89, 642 is 1

Given Input Data is 961, 298, 89, 642

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 298 is 2 x 149

Prime Factorization of 89 is 89

Prime Factorization of 642 is 2 x 3 x 107

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, 298) = 286378

GCD(961, 298) = ( 961 x 298 ) / 286378

GCD(961, 298) = 286378 / 286378

GCD(961, 298) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 961, 298, 89, 642 is 1

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1. What is the GCD of 961, 298, 89, 642?

GCD of 961, 298, 89, 642 is 1

2. Where do I get the detailed procedure to find GCD of 961, 298, 89, 642?

You can find a detailed procedure to find GCD of 961, 298, 89, 642 on our page.

3. How to find GCD of 961, 298, 89, 642 on a calculator?

You can find the GCD of 961, 298, 89, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.