GCD of 384, 119, 74, 534 Calculator

Given Input numbers are 384, 119, 74, 534

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 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Greatest Common Divisior

We found the divisors of 384, 119, 74, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 119, 74, 534 is 1.

Therefore, GCD of numbers 384, 119, 74, 534 is 1

Given Input Data is 384, 119, 74, 534

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 119 is 7 x 17

Prime Factorization of 74 is 2 x 37

Prime Factorization of 534 is 2 x 3 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, 119) = 45696

GCD(384, 119) = ( 384 x 119 ) / 45696

GCD(384, 119) = 45696 / 45696

GCD(384, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 534

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

LCM(1, 534) = 534

GCD(1, 534) = ( 1 x 534 ) / 534

GCD(1, 534) = 534 / 534

GCD(1, 534) = 1

GCD of 384, 119, 74, 534 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 204, 762, 24, 655
• GCD of 931, 532, 23, 465
• GCD of 127, 358, 66, 376
• GCD of 642, 628, 86, 151
• GCD of 472, 275, 12, 158

1. What is the GCD of 384, 119, 74, 534?

GCD of 384, 119, 74, 534 is 1

2. Where do I get the detailed procedure to find GCD of 384, 119, 74, 534?

You can find a detailed procedure to find GCD of 384, 119, 74, 534 on our page.

3. How to find GCD of 384, 119, 74, 534 on a calculator?

You can find the GCD of 384, 119, 74, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.