GCD of 963, 960, 577, 301 Calculator

Given Input numbers are 963, 960, 577, 301

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

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 963, 960, 577, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 960, 577, 301 is 1.

Therefore, GCD of numbers 963, 960, 577, 301 is 1

Given Input Data is 963, 960, 577, 301

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

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 577 is 577

Prime Factorization of 301 is 7 x 43

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(963, 960) = 308160

GCD(963, 960) = ( 963 x 960 ) / 308160

GCD(963, 960) = 924480 / 308160

GCD(963, 960) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 577

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

LCM(3, 577) = 1731

GCD(3, 577) = ( 3 x 577 ) / 1731

GCD(3, 577) = 1731 / 1731

GCD(3, 577) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 963, 960, 577, 301 is 1

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1. What is the GCD of 963, 960, 577, 301?

GCD of 963, 960, 577, 301 is 1

2. Where do I get the detailed procedure to find GCD of 963, 960, 577, 301?

You can find a detailed procedure to find GCD of 963, 960, 577, 301 on our page.

3. How to find GCD of 963, 960, 577, 301 on a calculator?

You can find the GCD of 963, 960, 577, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.