GCD of 780, 828, 827, 724 Calculator

Given Input numbers are 780, 828, 827, 724

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 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 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 780, 828, 827, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 828, 827, 724 is 1.

Therefore, GCD of numbers 780, 828, 827, 724 is 1

Given Input Data is 780, 828, 827, 724

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 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 827 is 827

Prime Factorization of 724 is 2 x 2 x 181

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, 828) = 53820

GCD(780, 828) = ( 780 x 828 ) / 53820

GCD(780, 828) = 645840 / 53820

GCD(780, 828) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 827

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

LCM(12, 827) = 9924

GCD(12, 827) = ( 12 x 827 ) / 9924

GCD(12, 827) = 9924 / 9924

GCD(12, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 780, 828, 827, 724 is 1

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1. What is the GCD of 780, 828, 827, 724?

GCD of 780, 828, 827, 724 is 1

2. Where do I get the detailed procedure to find GCD of 780, 828, 827, 724?

You can find a detailed procedure to find GCD of 780, 828, 827, 724 on our page.

3. How to find GCD of 780, 828, 827, 724 on a calculator?

You can find the GCD of 780, 828, 827, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.