GCD of 51, 434, 495, 961 Calculator

Given Input numbers are 51, 434, 495, 961

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

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 51, 434, 495, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 434, 495, 961 is 1.

Therefore, GCD of numbers 51, 434, 495, 961 is 1

Given Input Data is 51, 434, 495, 961

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 495 is 3 x 3 x 5 x 11

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(51, 434) = 22134

GCD(51, 434) = ( 51 x 434 ) / 22134

GCD(51, 434) = 22134 / 22134

GCD(51, 434) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 495

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

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

GCD(1, 495) = 495 / 495

GCD(1, 495) = 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 51, 434, 495, 961 is 1

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1. What is the GCD of 51, 434, 495, 961?

GCD of 51, 434, 495, 961 is 1

2. Where do I get the detailed procedure to find GCD of 51, 434, 495, 961?

You can find a detailed procedure to find GCD of 51, 434, 495, 961 on our page.

3. How to find GCD of 51, 434, 495, 961 on a calculator?

You can find the GCD of 51, 434, 495, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.