GCD of 978, 780, 31, 824 Calculator

Given Input numbers are 978, 780, 31, 824

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

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

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 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 978, 780, 31, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 780, 31, 824 is 1.

Therefore, GCD of numbers 978, 780, 31, 824 is 1

Given Input Data is 978, 780, 31, 824

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

Prime Factorization of 978 is 2 x 3 x 163

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

Prime Factorization of 31 is 31

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(978, 780) = 127140

GCD(978, 780) = ( 978 x 780 ) / 127140

GCD(978, 780) = 762840 / 127140

GCD(978, 780) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 31

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

LCM(6, 31) = 186

GCD(6, 31) = ( 6 x 31 ) / 186

GCD(6, 31) = 186 / 186

GCD(6, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 978, 780, 31, 824 is 1

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1. What is the GCD of 978, 780, 31, 824?

GCD of 978, 780, 31, 824 is 1

2. Where do I get the detailed procedure to find GCD of 978, 780, 31, 824?

You can find a detailed procedure to find GCD of 978, 780, 31, 824 on our page.

3. How to find GCD of 978, 780, 31, 824 on a calculator?

You can find the GCD of 978, 780, 31, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.