GCD of 270, 250, 311, 938 Calculator

Given Input numbers are 270, 250, 311, 938

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

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 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 270, 250, 311, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 250, 311, 938 is 1.

Therefore, GCD of numbers 270, 250, 311, 938 is 1

Given Input Data is 270, 250, 311, 938

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

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

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 311 is 311

Prime Factorization of 938 is 2 x 7 x 67

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(270, 250) = 6750

GCD(270, 250) = ( 270 x 250 ) / 6750

GCD(270, 250) = 67500 / 6750

GCD(270, 250) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 311

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

LCM(10, 311) = 3110

GCD(10, 311) = ( 10 x 311 ) / 3110

GCD(10, 311) = 3110 / 3110

GCD(10, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 270, 250, 311, 938 is 1

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• GCD of 921, 301, 844, 428
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1. What is the GCD of 270, 250, 311, 938?

GCD of 270, 250, 311, 938 is 1

2. Where do I get the detailed procedure to find GCD of 270, 250, 311, 938?

You can find a detailed procedure to find GCD of 270, 250, 311, 938 on our page.

3. How to find GCD of 270, 250, 311, 938 on a calculator?

You can find the GCD of 270, 250, 311, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.