GCD of 660, 563, 978, 610 Calculator

Given Input numbers are 660, 563, 978, 610

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Greatest Common Divisior

We found the divisors of 660, 563, 978, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 563, 978, 610 is 1.

Therefore, GCD of numbers 660, 563, 978, 610 is 1

Given Input Data is 660, 563, 978, 610

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 563 is 563

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 610 is 2 x 5 x 61

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(660, 563) = 371580

GCD(660, 563) = ( 660 x 563 ) / 371580

GCD(660, 563) = 371580 / 371580

GCD(660, 563) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 610

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

LCM(1, 610) = 610

GCD(1, 610) = ( 1 x 610 ) / 610

GCD(1, 610) = 610 / 610

GCD(1, 610) = 1

GCD of 660, 563, 978, 610 is 1

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1. What is the GCD of 660, 563, 978, 610?

GCD of 660, 563, 978, 610 is 1

2. Where do I get the detailed procedure to find GCD of 660, 563, 978, 610?

You can find a detailed procedure to find GCD of 660, 563, 978, 610 on our page.

3. How to find GCD of 660, 563, 978, 610 on a calculator?

You can find the GCD of 660, 563, 978, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.