GCD of 271, 171, 74, 800 Calculator

Given Input numbers are 271, 171, 74, 800

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 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 271, 171, 74, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 171, 74, 800 is 1.

Therefore, GCD of numbers 271, 171, 74, 800 is 1

Given Input Data is 271, 171, 74, 800

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

Prime Factorization of 271 is 271

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 74 is 2 x 37

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 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, 171) = 46341

GCD(271, 171) = ( 271 x 171 ) / 46341

GCD(271, 171) = 46341 / 46341

GCD(271, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 271, 171, 74, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 288, 901, 70, 318
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• GCD of 335, 158, 56, 532
• GCD of 517, 706, 39, 250
• GCD of 362, 556, 15, 368

1. What is the GCD of 271, 171, 74, 800?

GCD of 271, 171, 74, 800 is 1

2. Where do I get the detailed procedure to find GCD of 271, 171, 74, 800?

You can find a detailed procedure to find GCD of 271, 171, 74, 800 on our page.

3. How to find GCD of 271, 171, 74, 800 on a calculator?

You can find the GCD of 271, 171, 74, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.