GCD of 384, 148, 36, 979 Calculator

Given Input numbers are 384, 148, 36, 979

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 384, 148, 36, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 148, 36, 979 is 1.

Therefore, GCD of numbers 384, 148, 36, 979 is 1

Given Input Data is 384, 148, 36, 979

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 148 is 2 x 2 x 37

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 979 is 11 x 89

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, 148) = 14208

GCD(384, 148) = ( 384 x 148 ) / 14208

GCD(384, 148) = 56832 / 14208

GCD(384, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 36

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

LCM(4, 36) = 36

GCD(4, 36) = ( 4 x 36 ) / 36

GCD(4, 36) = 144 / 36

GCD(4, 36) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 979

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

LCM(4, 979) = 3916

GCD(4, 979) = ( 4 x 979 ) / 3916

GCD(4, 979) = 3916 / 3916

GCD(4, 979) = 1

GCD of 384, 148, 36, 979 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 807, 49, 215
• GCD of 385, 927, 72, 922
• GCD of 750, 196, 49, 732
• GCD of 439, 320, 83, 557
• GCD of 831, 219, 10, 160

1. What is the GCD of 384, 148, 36, 979?

GCD of 384, 148, 36, 979 is 1

2. Where do I get the detailed procedure to find GCD of 384, 148, 36, 979?

You can find a detailed procedure to find GCD of 384, 148, 36, 979 on our page.

3. How to find GCD of 384, 148, 36, 979 on a calculator?

You can find the GCD of 384, 148, 36, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.