GCD of 392, 653, 30, 520 Calculator

Given Input numbers are 392, 653, 30, 520

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 392, 653, 30, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 653, 30, 520 is 1.

Therefore, GCD of numbers 392, 653, 30, 520 is 1

Given Input Data is 392, 653, 30, 520

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 653 is 653

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

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(392, 653) = 255976

GCD(392, 653) = ( 392 x 653 ) / 255976

GCD(392, 653) = 255976 / 255976

GCD(392, 653) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 392, 653, 30, 520 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 716, 13, 776
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• GCD of 379, 671, 59, 746

1. What is the GCD of 392, 653, 30, 520?

GCD of 392, 653, 30, 520 is 1

2. Where do I get the detailed procedure to find GCD of 392, 653, 30, 520?

You can find a detailed procedure to find GCD of 392, 653, 30, 520 on our page.

3. How to find GCD of 392, 653, 30, 520 on a calculator?

You can find the GCD of 392, 653, 30, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.