GCD of 304, 390, 108, 525 Calculator

Given Input numbers are 304, 390, 108, 525

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 304, 390, 108, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 390, 108, 525 is 1.

Therefore, GCD of numbers 304, 390, 108, 525 is 1

Given Input Data is 304, 390, 108, 525

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 525 is 3 x 5 x 5 x 7

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(304, 390) = 59280

GCD(304, 390) = ( 304 x 390 ) / 59280

GCD(304, 390) = 118560 / 59280

GCD(304, 390) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 108

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

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

GCD(2, 108) = 216 / 108

GCD(2, 108) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 525

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

LCM(2, 525) = 1050

GCD(2, 525) = ( 2 x 525 ) / 1050

GCD(2, 525) = 1050 / 1050

GCD(2, 525) = 1

GCD of 304, 390, 108, 525 is 1

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• GCD of 200, 132, 580, 553
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• GCD of 846, 904, 920, 298
• GCD of 757, 240, 292, 971

1. What is the GCD of 304, 390, 108, 525?

GCD of 304, 390, 108, 525 is 1

2. Where do I get the detailed procedure to find GCD of 304, 390, 108, 525?

You can find a detailed procedure to find GCD of 304, 390, 108, 525 on our page.

3. How to find GCD of 304, 390, 108, 525 on a calculator?

You can find the GCD of 304, 390, 108, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.