GCD of 709, 488, 78, 616 Calculator

Given Input numbers are 709, 488, 78, 616

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

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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

Greatest Common Divisior

We found the divisors of 709, 488, 78, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 488, 78, 616 is 1.

Therefore, GCD of numbers 709, 488, 78, 616 is 1

Given Input Data is 709, 488, 78, 616

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

Prime Factorization of 709 is 709

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 78 is 2 x 3 x 13

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

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(709, 488) = 345992

GCD(709, 488) = ( 709 x 488 ) / 345992

GCD(709, 488) = 345992 / 345992

GCD(709, 488) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

GCD of 709, 488, 78, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 652, 687, 53, 381
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• GCD of 973, 630, 32, 932

1. What is the GCD of 709, 488, 78, 616?

GCD of 709, 488, 78, 616 is 1

2. Where do I get the detailed procedure to find GCD of 709, 488, 78, 616?

You can find a detailed procedure to find GCD of 709, 488, 78, 616 on our page.

3. How to find GCD of 709, 488, 78, 616 on a calculator?

You can find the GCD of 709, 488, 78, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.