GCD of 780, 506, 73, 874 Calculator

Given Input numbers are 780, 506, 73, 874

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

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 780, 506, 73, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 506, 73, 874 is 1.

Therefore, GCD of numbers 780, 506, 73, 874 is 1

Given Input Data is 780, 506, 73, 874

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

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 73 is 73

Prime Factorization of 874 is 2 x 19 x 23

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(780, 506) = 197340

GCD(780, 506) = ( 780 x 506 ) / 197340

GCD(780, 506) = 394680 / 197340

GCD(780, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 73

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

LCM(2, 73) = 146

GCD(2, 73) = ( 2 x 73 ) / 146

GCD(2, 73) = 146 / 146

GCD(2, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 780, 506, 73, 874 is 1

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• GCD of 797, 626, 55, 527
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1. What is the GCD of 780, 506, 73, 874?

GCD of 780, 506, 73, 874 is 1

2. Where do I get the detailed procedure to find GCD of 780, 506, 73, 874?

You can find a detailed procedure to find GCD of 780, 506, 73, 874 on our page.

3. How to find GCD of 780, 506, 73, 874 on a calculator?

You can find the GCD of 780, 506, 73, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.