GCD of 165, 916, 54, 271 Calculator

Given Input numbers are 165, 916, 54, 271

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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 271

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

1, 271

Greatest Common Divisior

We found the divisors of 165, 916, 54, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 916, 54, 271 is 1.

Therefore, GCD of numbers 165, 916, 54, 271 is 1

Given Input Data is 165, 916, 54, 271

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 916 is 2 x 2 x 229

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

Prime Factorization of 271 is 271

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(165, 916) = 151140

GCD(165, 916) = ( 165 x 916 ) / 151140

GCD(165, 916) = 151140 / 151140

GCD(165, 916) = 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 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 165, 916, 54, 271 is 1

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• GCD of 784, 967, 59, 994
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1. What is the GCD of 165, 916, 54, 271?

GCD of 165, 916, 54, 271 is 1

2. Where do I get the detailed procedure to find GCD of 165, 916, 54, 271?

You can find a detailed procedure to find GCD of 165, 916, 54, 271 on our page.

3. How to find GCD of 165, 916, 54, 271 on a calculator?

You can find the GCD of 165, 916, 54, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.