GCD of 610, 721, 16, 682 Calculator

Given Input numbers are 610, 721, 16, 682

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

Divisors of 610

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

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

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 610, 721, 16, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 721, 16, 682 is 1.

Therefore, GCD of numbers 610, 721, 16, 682 is 1

Given Input Data is 610, 721, 16, 682

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 721 is 7 x 103

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 682 is 2 x 11 x 31

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(610, 721) = 439810

GCD(610, 721) = ( 610 x 721 ) / 439810

GCD(610, 721) = 439810 / 439810

GCD(610, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 610, 721, 16, 682 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 494, 52, 560
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• GCD of 920, 234, 25, 204

1. What is the GCD of 610, 721, 16, 682?

GCD of 610, 721, 16, 682 is 1

2. Where do I get the detailed procedure to find GCD of 610, 721, 16, 682?

You can find a detailed procedure to find GCD of 610, 721, 16, 682 on our page.

3. How to find GCD of 610, 721, 16, 682 on a calculator?

You can find the GCD of 610, 721, 16, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.