GCD of 160, 202, 289 Calculator

Given Input numbers are 160, 202, 289

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

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 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

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 160, 202, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 202, 289 is 1.

Therefore, GCD of numbers 160, 202, 289 is 1

Given Input Data is 160, 202, 289

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

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

Prime Factorization of 202 is 2 x 101

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(160, 202) = 16160

GCD(160, 202) = ( 160 x 202 ) / 16160

GCD(160, 202) = 32320 / 16160

GCD(160, 202) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 289

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

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

GCD(2, 289) = 578 / 578

GCD(2, 289) = 1

GCD of 160, 202, 289 is 1

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1. What is the GCD of 160, 202, 289?

GCD of 160, 202, 289 is 1

2. Where do I get the detailed procedure to find GCD of 160, 202, 289?

You can find a detailed procedure to find GCD of 160, 202, 289 on our page.

3. How to find GCD of 160, 202, 289 on a calculator?

You can find the GCD of 160, 202, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.