GCD of 460, 525, 96, 638 Calculator

Given Input numbers are 460, 525, 96, 638

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 460, 525, 96, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 525, 96, 638 is 1.

Therefore, GCD of numbers 460, 525, 96, 638 is 1

Given Input Data is 460, 525, 96, 638

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 638 is 2 x 11 x 29

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(460, 525) = 48300

GCD(460, 525) = ( 460 x 525 ) / 48300

GCD(460, 525) = 241500 / 48300

GCD(460, 525) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 96

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

LCM(5, 96) = 480

GCD(5, 96) = ( 5 x 96 ) / 480

GCD(5, 96) = 480 / 480

GCD(5, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

GCD of 460, 525, 96, 638 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 204, 300, 44, 240
• GCD of 212, 758, 39, 926
• GCD of 160, 729, 17, 713
• GCD of 541, 940, 93, 676
• GCD of 453, 129, 30, 696

1. What is the GCD of 460, 525, 96, 638?

GCD of 460, 525, 96, 638 is 1

2. Where do I get the detailed procedure to find GCD of 460, 525, 96, 638?

You can find a detailed procedure to find GCD of 460, 525, 96, 638 on our page.

3. How to find GCD of 460, 525, 96, 638 on a calculator?

You can find the GCD of 460, 525, 96, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.