GCD of 525, 630, 19, 424 Calculator

Given Input numbers are 525, 630, 19, 424

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

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 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 525, 630, 19, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 630, 19, 424 is 1.

Therefore, GCD of numbers 525, 630, 19, 424 is 1

Given Input Data is 525, 630, 19, 424

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

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 19 is 19

Prime Factorization of 424 is 2 x 2 x 2 x 53

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(525, 630) = 3150

GCD(525, 630) = ( 525 x 630 ) / 3150

GCD(525, 630) = 330750 / 3150

GCD(525, 630) = 105

Step2:

Here we consider the GCD from the above i.e. 105 as first number and the next as 19

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

LCM(105, 19) = 1995

GCD(105, 19) = ( 105 x 19 ) / 1995

GCD(105, 19) = 1995 / 1995

GCD(105, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

GCD of 525, 630, 19, 424 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 964, 90, 517
• GCD of 852, 589, 96, 924
• GCD of 592, 647, 25, 553
• GCD of 449, 859, 18, 569
• GCD of 353, 451, 16, 279

1. What is the GCD of 525, 630, 19, 424?

GCD of 525, 630, 19, 424 is 1

2. Where do I get the detailed procedure to find GCD of 525, 630, 19, 424?

You can find a detailed procedure to find GCD of 525, 630, 19, 424 on our page.

3. How to find GCD of 525, 630, 19, 424 on a calculator?

You can find the GCD of 525, 630, 19, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.