GCD of 384, 972, 63, 358 Calculator

Given Input numbers are 384, 972, 63, 358

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 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 63

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

1, 3, 7, 9, 21, 63

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 384, 972, 63, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 972, 63, 358 is 1.

Therefore, GCD of numbers 384, 972, 63, 358 is 1

Given Input Data is 384, 972, 63, 358

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 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 358 is 2 x 179

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, 972) = 31104

GCD(384, 972) = ( 384 x 972 ) / 31104

GCD(384, 972) = 373248 / 31104

GCD(384, 972) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 63

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

LCM(12, 63) = 252

GCD(12, 63) = ( 12 x 63 ) / 252

GCD(12, 63) = 756 / 252

GCD(12, 63) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 358

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

LCM(3, 358) = 1074

GCD(3, 358) = ( 3 x 358 ) / 1074

GCD(3, 358) = 1074 / 1074

GCD(3, 358) = 1

GCD of 384, 972, 63, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 129, 41, 289
• GCD of 624, 265, 72, 443
• GCD of 161, 690, 64, 728
• GCD of 311, 190, 53, 257
• GCD of 986, 974, 45, 533

1. What is the GCD of 384, 972, 63, 358?

GCD of 384, 972, 63, 358 is 1

2. Where do I get the detailed procedure to find GCD of 384, 972, 63, 358?

You can find a detailed procedure to find GCD of 384, 972, 63, 358 on our page.

3. How to find GCD of 384, 972, 63, 358 on a calculator?

You can find the GCD of 384, 972, 63, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.