GCD of 301, 681, 828, 616 Calculator

Given Input numbers are 301, 681, 828, 616

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 301, 681, 828, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 681, 828, 616 is 1.

Therefore, GCD of numbers 301, 681, 828, 616 is 1

Given Input Data is 301, 681, 828, 616

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 681 is 3 x 227

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(301, 681) = 204981

GCD(301, 681) = ( 301 x 681 ) / 204981

GCD(301, 681) = 204981 / 204981

GCD(301, 681) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 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 301, 681, 828, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 719, 706, 902
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• GCD of 491, 234, 884, 510
• GCD of 828, 583, 294, 130

1. What is the GCD of 301, 681, 828, 616?

GCD of 301, 681, 828, 616 is 1

2. Where do I get the detailed procedure to find GCD of 301, 681, 828, 616?

You can find a detailed procedure to find GCD of 301, 681, 828, 616 on our page.

3. How to find GCD of 301, 681, 828, 616 on a calculator?

You can find the GCD of 301, 681, 828, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.