GCD of 909, 662, 30, 560 Calculator

Given Input numbers are 909, 662, 30, 560

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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 909, 662, 30, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 662, 30, 560 is 1.

Therefore, GCD of numbers 909, 662, 30, 560 is 1

Given Input Data is 909, 662, 30, 560

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 662 is 2 x 331

Prime Factorization of 30 is 2 x 3 x 5

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(909, 662) = 601758

GCD(909, 662) = ( 909 x 662 ) / 601758

GCD(909, 662) = 601758 / 601758

GCD(909, 662) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 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 909, 662, 30, 560 is 1

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1. What is the GCD of 909, 662, 30, 560?

GCD of 909, 662, 30, 560 is 1

2. Where do I get the detailed procedure to find GCD of 909, 662, 30, 560?

You can find a detailed procedure to find GCD of 909, 662, 30, 560 on our page.

3. How to find GCD of 909, 662, 30, 560 on a calculator?

You can find the GCD of 909, 662, 30, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.