GCD of 475, 242, 270, 381 Calculator

Given Input numbers are 475, 242, 270, 381

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

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 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 475, 242, 270, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 242, 270, 381 is 1.

Therefore, GCD of numbers 475, 242, 270, 381 is 1

Given Input Data is 475, 242, 270, 381

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 242 is 2 x 11 x 11

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

Prime Factorization of 381 is 3 x 127

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(475, 242) = 114950

GCD(475, 242) = ( 475 x 242 ) / 114950

GCD(475, 242) = 114950 / 114950

GCD(475, 242) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 475, 242, 270, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 708, 484, 522
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• GCD of 890, 898, 220, 114
• GCD of 925, 202, 180, 236
• GCD of 240, 649, 779, 761

1. What is the GCD of 475, 242, 270, 381?

GCD of 475, 242, 270, 381 is 1

2. Where do I get the detailed procedure to find GCD of 475, 242, 270, 381?

You can find a detailed procedure to find GCD of 475, 242, 270, 381 on our page.

3. How to find GCD of 475, 242, 270, 381 on a calculator?

You can find the GCD of 475, 242, 270, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.