GCD of 616, 706, 30, 609 Calculator

Given Input numbers are 616, 706, 30, 609

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

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

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 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 616, 706, 30, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 706, 30, 609 is 1.

Therefore, GCD of numbers 616, 706, 30, 609 is 1

Given Input Data is 616, 706, 30, 609

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 706 is 2 x 353

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 609 is 3 x 7 x 29

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(616, 706) = 217448

GCD(616, 706) = ( 616 x 706 ) / 217448

GCD(616, 706) = 434896 / 217448

GCD(616, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 609

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

LCM(2, 609) = 1218

GCD(2, 609) = ( 2 x 609 ) / 1218

GCD(2, 609) = 1218 / 1218

GCD(2, 609) = 1

GCD of 616, 706, 30, 609 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 354, 45, 937
• GCD of 587, 369, 22, 598
• GCD of 582, 243, 23, 836
• GCD of 367, 863, 56, 314
• GCD of 717, 425, 43, 153

1. What is the GCD of 616, 706, 30, 609?

GCD of 616, 706, 30, 609 is 1

2. Where do I get the detailed procedure to find GCD of 616, 706, 30, 609?

You can find a detailed procedure to find GCD of 616, 706, 30, 609 on our page.

3. How to find GCD of 616, 706, 30, 609 on a calculator?

You can find the GCD of 616, 706, 30, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.