GCD of 780, 489, 603, 878 Calculator

Given Input numbers are 780, 489, 603, 878

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 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 780, 489, 603, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 489, 603, 878 is 1.

Therefore, GCD of numbers 780, 489, 603, 878 is 1

Given Input Data is 780, 489, 603, 878

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 489 is 3 x 163

Prime Factorization of 603 is 3 x 3 x 67

Prime Factorization of 878 is 2 x 439

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, 489) = 127140

GCD(780, 489) = ( 780 x 489 ) / 127140

GCD(780, 489) = 381420 / 127140

GCD(780, 489) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 603

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

LCM(3, 603) = 603

GCD(3, 603) = ( 3 x 603 ) / 603

GCD(3, 603) = 1809 / 603

GCD(3, 603) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 878

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

LCM(3, 878) = 2634

GCD(3, 878) = ( 3 x 878 ) / 2634

GCD(3, 878) = 2634 / 2634

GCD(3, 878) = 1

GCD of 780, 489, 603, 878 is 1

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1. What is the GCD of 780, 489, 603, 878?

GCD of 780, 489, 603, 878 is 1

2. Where do I get the detailed procedure to find GCD of 780, 489, 603, 878?

You can find a detailed procedure to find GCD of 780, 489, 603, 878 on our page.

3. How to find GCD of 780, 489, 603, 878 on a calculator?

You can find the GCD of 780, 489, 603, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.