GCD of 628, 553, 71, 441 Calculator

Given Input numbers are 628, 553, 71, 441

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

Divisors of 628

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

1, 2, 4, 157, 314, 628

Divisors of 553

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

1, 7, 79, 553

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 628, 553, 71, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 553, 71, 441 is 1.

Therefore, GCD of numbers 628, 553, 71, 441 is 1

Given Input Data is 628, 553, 71, 441

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 553 is 7 x 79

Prime Factorization of 71 is 71

Prime Factorization of 441 is 3 x 3 x 7 x 7

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(628, 553) = 347284

GCD(628, 553) = ( 628 x 553 ) / 347284

GCD(628, 553) = 347284 / 347284

GCD(628, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 628, 553, 71, 441 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 590, 64, 268
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• GCD of 728, 370, 58, 851
• GCD of 476, 182, 56, 943
• GCD of 727, 289, 16, 918

1. What is the GCD of 628, 553, 71, 441?

GCD of 628, 553, 71, 441 is 1

2. Where do I get the detailed procedure to find GCD of 628, 553, 71, 441?

You can find a detailed procedure to find GCD of 628, 553, 71, 441 on our page.

3. How to find GCD of 628, 553, 71, 441 on a calculator?

You can find the GCD of 628, 553, 71, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.