GCD of 560, 355, 627, 624 Calculator

Given Input numbers are 560, 355, 627, 624

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

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 560, 355, 627, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 355, 627, 624 is 1.

Therefore, GCD of numbers 560, 355, 627, 624 is 1

Given Input Data is 560, 355, 627, 624

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 355 is 5 x 71

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

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(560, 355) = 39760

GCD(560, 355) = ( 560 x 355 ) / 39760

GCD(560, 355) = 198800 / 39760

GCD(560, 355) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 627

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

LCM(5, 627) = 3135

GCD(5, 627) = ( 5 x 627 ) / 3135

GCD(5, 627) = 3135 / 3135

GCD(5, 627) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 624

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

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

GCD(1, 624) = 624 / 624

GCD(1, 624) = 1

GCD of 560, 355, 627, 624 is 1

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1. What is the GCD of 560, 355, 627, 624?

GCD of 560, 355, 627, 624 is 1

2. Where do I get the detailed procedure to find GCD of 560, 355, 627, 624?

You can find a detailed procedure to find GCD of 560, 355, 627, 624 on our page.

3. How to find GCD of 560, 355, 627, 624 on a calculator?

You can find the GCD of 560, 355, 627, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.