GCD of 127, 838, 315, 270 Calculator

Given Input numbers are 127, 838, 315, 270

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

Divisors of 127

List of positive integer divisors of 127 that divides 127 without a remainder.

1, 127

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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

Greatest Common Divisior

We found the divisors of 127, 838, 315, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 127, 838, 315, 270 is 1.

Therefore, GCD of numbers 127, 838, 315, 270 is 1

Given Input Data is 127, 838, 315, 270

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

Prime Factorization of 127 is 127

Prime Factorization of 838 is 2 x 419

Prime Factorization of 315 is 3 x 3 x 5 x 7

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

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(127, 838) = 106426

GCD(127, 838) = ( 127 x 838 ) / 106426

GCD(127, 838) = 106426 / 106426

GCD(127, 838) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

Step3:

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

GCD of 127, 838, 315, 270 is 1

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1. What is the GCD of 127, 838, 315, 270?

GCD of 127, 838, 315, 270 is 1

2. Where do I get the detailed procedure to find GCD of 127, 838, 315, 270?

You can find a detailed procedure to find GCD of 127, 838, 315, 270 on our page.

3. How to find GCD of 127, 838, 315, 270 on a calculator?

You can find the GCD of 127, 838, 315, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.