GCD of 75, 171, 420, 244 Calculator

Given Input numbers are 75, 171, 420, 244

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 244

List of positive integer divisors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Greatest Common Divisior

We found the divisors of 75, 171, 420, 244 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 171, 420, 244 is 1.

Therefore, GCD of numbers 75, 171, 420, 244 is 1

Given Input Data is 75, 171, 420, 244

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 244 is 2 x 2 x 61

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(75, 171) = 4275

GCD(75, 171) = ( 75 x 171 ) / 4275

GCD(75, 171) = 12825 / 4275

GCD(75, 171) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 420

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

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

GCD(3, 420) = 1260 / 420

GCD(3, 420) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 244

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

LCM(3, 244) = 732

GCD(3, 244) = ( 3 x 244 ) / 732

GCD(3, 244) = 732 / 732

GCD(3, 244) = 1

GCD of 75, 171, 420, 244 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 354, 196, 956
• GCD of 61, 842, 634, 966
• GCD of 77, 653, 924, 469
• GCD of 78, 820, 707, 870
• GCD of 35, 447, 553, 369

1. What is the GCD of 75, 171, 420, 244?

GCD of 75, 171, 420, 244 is 1

2. Where do I get the detailed procedure to find GCD of 75, 171, 420, 244?

You can find a detailed procedure to find GCD of 75, 171, 420, 244 on our page.

3. How to find GCD of 75, 171, 420, 244 on a calculator?

You can find the GCD of 75, 171, 420, 244 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.