GCD of 553, 852, 313, 644 Calculator

Given Input numbers are 553, 852, 313, 644

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 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 553, 852, 313, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 852, 313, 644 is 1.

Therefore, GCD of numbers 553, 852, 313, 644 is 1

Given Input Data is 553, 852, 313, 644

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 313 is 313

Prime Factorization of 644 is 2 x 2 x 7 x 23

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, 852) = 471156

GCD(553, 852) = ( 553 x 852 ) / 471156

GCD(553, 852) = 471156 / 471156

GCD(553, 852) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

GCD of 553, 852, 313, 644 is 1

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1. What is the GCD of 553, 852, 313, 644?

GCD of 553, 852, 313, 644 is 1

2. Where do I get the detailed procedure to find GCD of 553, 852, 313, 644?

You can find a detailed procedure to find GCD of 553, 852, 313, 644 on our page.

3. How to find GCD of 553, 852, 313, 644 on a calculator?

You can find the GCD of 553, 852, 313, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.