GCD of 299, 842, 84, 780 Calculator

Given Input numbers are 299, 842, 84, 780

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 299, 842, 84, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 842, 84, 780 is 1.

Therefore, GCD of numbers 299, 842, 84, 780 is 1

Given Input Data is 299, 842, 84, 780

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 842 is 2 x 421

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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(299, 842) = 251758

GCD(299, 842) = ( 299 x 842 ) / 251758

GCD(299, 842) = 251758 / 251758

GCD(299, 842) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 299, 842, 84, 780 is 1

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1. What is the GCD of 299, 842, 84, 780?

GCD of 299, 842, 84, 780 is 1

2. Where do I get the detailed procedure to find GCD of 299, 842, 84, 780?

You can find a detailed procedure to find GCD of 299, 842, 84, 780 on our page.

3. How to find GCD of 299, 842, 84, 780 on a calculator?

You can find the GCD of 299, 842, 84, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.