GCD of 356, 274, 89, 289 Calculator

Given Input numbers are 356, 274, 89, 289

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 356, 274, 89, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 274, 89, 289 is 1.

Therefore, GCD of numbers 356, 274, 89, 289 is 1

Given Input Data is 356, 274, 89, 289

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 274 is 2 x 137

Prime Factorization of 89 is 89

Prime Factorization of 289 is 17 x 17

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(356, 274) = 48772

GCD(356, 274) = ( 356 x 274 ) / 48772

GCD(356, 274) = 97544 / 48772

GCD(356, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 356, 274, 89, 289 is 1

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1. What is the GCD of 356, 274, 89, 289?

GCD of 356, 274, 89, 289 is 1

2. Where do I get the detailed procedure to find GCD of 356, 274, 89, 289?

You can find a detailed procedure to find GCD of 356, 274, 89, 289 on our page.

3. How to find GCD of 356, 274, 89, 289 on a calculator?

You can find the GCD of 356, 274, 89, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.