GCD of 387, 648, 978, 748 Calculator

Given Input numbers are 387, 648, 978, 748

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 387, 648, 978, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 648, 978, 748 is 1.

Therefore, GCD of numbers 387, 648, 978, 748 is 1

Given Input Data is 387, 648, 978, 748

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(387, 648) = 27864

GCD(387, 648) = ( 387 x 648 ) / 27864

GCD(387, 648) = 250776 / 27864

GCD(387, 648) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 978

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

LCM(9, 978) = 2934

GCD(9, 978) = ( 9 x 978 ) / 2934

GCD(9, 978) = 8802 / 2934

GCD(9, 978) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 748

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

LCM(3, 748) = 2244

GCD(3, 748) = ( 3 x 748 ) / 2244

GCD(3, 748) = 2244 / 2244

GCD(3, 748) = 1

GCD of 387, 648, 978, 748 is 1

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1. What is the GCD of 387, 648, 978, 748?

GCD of 387, 648, 978, 748 is 1

2. Where do I get the detailed procedure to find GCD of 387, 648, 978, 748?

You can find a detailed procedure to find GCD of 387, 648, 978, 748 on our page.

3. How to find GCD of 387, 648, 978, 748 on a calculator?

You can find the GCD of 387, 648, 978, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.