GCD of 384, 749, 63, 978 Calculator

Given Input numbers are 384, 749, 63, 978

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 978

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

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

Greatest Common Divisior

We found the divisors of 384, 749, 63, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 749, 63, 978 is 1.

Therefore, GCD of numbers 384, 749, 63, 978 is 1

Given Input Data is 384, 749, 63, 978

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 749 is 7 x 107

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 978 is 2 x 3 x 163

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(384, 749) = 287616

GCD(384, 749) = ( 384 x 749 ) / 287616

GCD(384, 749) = 287616 / 287616

GCD(384, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 63

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

LCM(1, 63) = 63

GCD(1, 63) = ( 1 x 63 ) / 63

GCD(1, 63) = 63 / 63

GCD(1, 63) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 384, 749, 63, 978 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 562, 561, 41, 130
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1. What is the GCD of 384, 749, 63, 978?

GCD of 384, 749, 63, 978 is 1

2. Where do I get the detailed procedure to find GCD of 384, 749, 63, 978?

You can find a detailed procedure to find GCD of 384, 749, 63, 978 on our page.

3. How to find GCD of 384, 749, 63, 978 on a calculator?

You can find the GCD of 384, 749, 63, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.