GCD of 28, 271, 160, 354 Calculator

Given Input numbers are 28, 271, 160, 354

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 271

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

1, 271

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 28, 271, 160, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 271, 160, 354 is 1.

Therefore, GCD of numbers 28, 271, 160, 354 is 1

Given Input Data is 28, 271, 160, 354

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 271 is 271

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 354 is 2 x 3 x 59

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(28, 271) = 7588

GCD(28, 271) = ( 28 x 271 ) / 7588

GCD(28, 271) = 7588 / 7588

GCD(28, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 28, 271, 160, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 707, 938, 944
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• GCD of 25, 405, 433, 485

1. What is the GCD of 28, 271, 160, 354?

GCD of 28, 271, 160, 354 is 1

2. Where do I get the detailed procedure to find GCD of 28, 271, 160, 354?

You can find a detailed procedure to find GCD of 28, 271, 160, 354 on our page.

3. How to find GCD of 28, 271, 160, 354 on a calculator?

You can find the GCD of 28, 271, 160, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.