GCD of 252, 398, 270, 901 Calculator

Given Input numbers are 252, 398, 270, 901

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 252, 398, 270, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 398, 270, 901 is 1.

Therefore, GCD of numbers 252, 398, 270, 901 is 1

Given Input Data is 252, 398, 270, 901

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 398 is 2 x 199

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 901 is 17 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(252, 398) = 50148

GCD(252, 398) = ( 252 x 398 ) / 50148

GCD(252, 398) = 100296 / 50148

GCD(252, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 270

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

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 901

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

LCM(2, 901) = 1802

GCD(2, 901) = ( 2 x 901 ) / 1802

GCD(2, 901) = 1802 / 1802

GCD(2, 901) = 1

GCD of 252, 398, 270, 901 is 1

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1. What is the GCD of 252, 398, 270, 901?

GCD of 252, 398, 270, 901 is 1

2. Where do I get the detailed procedure to find GCD of 252, 398, 270, 901?

You can find a detailed procedure to find GCD of 252, 398, 270, 901 on our page.

3. How to find GCD of 252, 398, 270, 901 on a calculator?

You can find the GCD of 252, 398, 270, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.