GCD of 553, 636, 269, 628 Calculator

Given Input numbers are 553, 636, 269, 628

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 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 553, 636, 269, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 636, 269, 628 is 1.

Therefore, GCD of numbers 553, 636, 269, 628 is 1

Given Input Data is 553, 636, 269, 628

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 269 is 269

Prime Factorization of 628 is 2 x 2 x 157

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, 636) = 351708

GCD(553, 636) = ( 553 x 636 ) / 351708

GCD(553, 636) = 351708 / 351708

GCD(553, 636) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 553, 636, 269, 628 is 1

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1. What is the GCD of 553, 636, 269, 628?

GCD of 553, 636, 269, 628 is 1

2. Where do I get the detailed procedure to find GCD of 553, 636, 269, 628?

You can find a detailed procedure to find GCD of 553, 636, 269, 628 on our page.

3. How to find GCD of 553, 636, 269, 628 on a calculator?

You can find the GCD of 553, 636, 269, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.