GCD of 421, 524, 99, 755 Calculator

Given Input numbers are 421, 524, 99, 755

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 524

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

1, 2, 4, 131, 262, 524

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 421, 524, 99, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 524, 99, 755 is 1.

Therefore, GCD of numbers 421, 524, 99, 755 is 1

Given Input Data is 421, 524, 99, 755

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

Prime Factorization of 421 is 421

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 755 is 5 x 151

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(421, 524) = 220604

GCD(421, 524) = ( 421 x 524 ) / 220604

GCD(421, 524) = 220604 / 220604

GCD(421, 524) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 421, 524, 99, 755 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 869, 51, 642
• GCD of 701, 765, 16, 369
• GCD of 500, 479, 59, 776
• GCD of 742, 574, 32, 337
• GCD of 265, 299, 68, 930

1. What is the GCD of 421, 524, 99, 755?

GCD of 421, 524, 99, 755 is 1

2. Where do I get the detailed procedure to find GCD of 421, 524, 99, 755?

You can find a detailed procedure to find GCD of 421, 524, 99, 755 on our page.

3. How to find GCD of 421, 524, 99, 755 on a calculator?

You can find the GCD of 421, 524, 99, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.