GCD of 553, 884, 352, 659 Calculator

Given Input numbers are 553, 884, 352, 659

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 553, 884, 352, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 884, 352, 659 is 1.

Therefore, GCD of numbers 553, 884, 352, 659 is 1

Given Input Data is 553, 884, 352, 659

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

Prime Factorization of 553 is 7 x 79

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 659 is 659

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(553, 884) = 488852

GCD(553, 884) = ( 553 x 884 ) / 488852

GCD(553, 884) = 488852 / 488852

GCD(553, 884) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 553, 884, 352, 659 is 1

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1. What is the GCD of 553, 884, 352, 659?

GCD of 553, 884, 352, 659 is 1

2. Where do I get the detailed procedure to find GCD of 553, 884, 352, 659?

You can find a detailed procedure to find GCD of 553, 884, 352, 659 on our page.

3. How to find GCD of 553, 884, 352, 659 on a calculator?

You can find the GCD of 553, 884, 352, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.