GCD of 628, 353, 71, 560 Calculator

Given Input numbers are 628, 353, 71, 560

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 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 71

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

1, 71

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 628, 353, 71, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 353, 71, 560 is 1.

Therefore, GCD of numbers 628, 353, 71, 560 is 1

Given Input Data is 628, 353, 71, 560

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 353 is 353

Prime Factorization of 71 is 71

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 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, 353) = 221684

GCD(628, 353) = ( 628 x 353 ) / 221684

GCD(628, 353) = 221684 / 221684

GCD(628, 353) = 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 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 628, 353, 71, 560 is 1

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1. What is the GCD of 628, 353, 71, 560?

GCD of 628, 353, 71, 560 is 1

2. Where do I get the detailed procedure to find GCD of 628, 353, 71, 560?

You can find a detailed procedure to find GCD of 628, 353, 71, 560 on our page.

3. How to find GCD of 628, 353, 71, 560 on a calculator?

You can find the GCD of 628, 353, 71, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.