GCD of 384, 524, 802, 379 Calculator

Given Input numbers are 384, 524, 802, 379

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 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Greatest Common Divisior

We found the divisors of 384, 524, 802, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 524, 802, 379 is 1.

Therefore, GCD of numbers 384, 524, 802, 379 is 1

Given Input Data is 384, 524, 802, 379

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 524 is 2 x 2 x 131

Prime Factorization of 802 is 2 x 401

Prime Factorization of 379 is 379

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, 524) = 50304

GCD(384, 524) = ( 384 x 524 ) / 50304

GCD(384, 524) = 201216 / 50304

GCD(384, 524) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 802

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

LCM(4, 802) = 1604

GCD(4, 802) = ( 4 x 802 ) / 1604

GCD(4, 802) = 3208 / 1604

GCD(4, 802) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 379

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

LCM(2, 379) = 758

GCD(2, 379) = ( 2 x 379 ) / 758

GCD(2, 379) = 758 / 758

GCD(2, 379) = 1

GCD of 384, 524, 802, 379 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 332, 498, 456
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• GCD of 931, 612, 717, 225
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• GCD of 929, 796, 438, 856

1. What is the GCD of 384, 524, 802, 379?

GCD of 384, 524, 802, 379 is 1

2. Where do I get the detailed procedure to find GCD of 384, 524, 802, 379?

You can find a detailed procedure to find GCD of 384, 524, 802, 379 on our page.

3. How to find GCD of 384, 524, 802, 379 on a calculator?

You can find the GCD of 384, 524, 802, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.