GCD of 654, 961, 649, 884 Calculator

Given Input numbers are 654, 961, 649, 884

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 961

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

1, 31, 961

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 654, 961, 649, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 961, 649, 884 is 1.

Therefore, GCD of numbers 654, 961, 649, 884 is 1

Given Input Data is 654, 961, 649, 884

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 961 is 31 x 31

Prime Factorization of 649 is 11 x 59

Prime Factorization of 884 is 2 x 2 x 13 x 17

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(654, 961) = 628494

GCD(654, 961) = ( 654 x 961 ) / 628494

GCD(654, 961) = 628494 / 628494

GCD(654, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

GCD of 654, 961, 649, 884 is 1

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1. What is the GCD of 654, 961, 649, 884?

GCD of 654, 961, 649, 884 is 1

2. Where do I get the detailed procedure to find GCD of 654, 961, 649, 884?

You can find a detailed procedure to find GCD of 654, 961, 649, 884 on our page.

3. How to find GCD of 654, 961, 649, 884 on a calculator?

You can find the GCD of 654, 961, 649, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.