GCD of 271, 105, 54, 375 Calculator

Given Input numbers are 271, 105, 54, 375

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

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Greatest Common Divisior

We found the divisors of 271, 105, 54, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 105, 54, 375 is 1.

Therefore, GCD of numbers 271, 105, 54, 375 is 1

Given Input Data is 271, 105, 54, 375

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

Prime Factorization of 271 is 271

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 375 is 3 x 5 x 5 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(271, 105) = 28455

GCD(271, 105) = ( 271 x 105 ) / 28455

GCD(271, 105) = 28455 / 28455

GCD(271, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

GCD of 271, 105, 54, 375 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 659, 29, 724
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• GCD of 577, 759, 61, 176
• GCD of 578, 495, 61, 997

1. What is the GCD of 271, 105, 54, 375?

GCD of 271, 105, 54, 375 is 1

2. Where do I get the detailed procedure to find GCD of 271, 105, 54, 375?

You can find a detailed procedure to find GCD of 271, 105, 54, 375 on our page.

3. How to find GCD of 271, 105, 54, 375 on a calculator?

You can find the GCD of 271, 105, 54, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.