GCD of 409, 160, 956, 289 Calculator

Given Input numbers are 409, 160, 956, 289

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

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

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 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

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 409, 160, 956, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 160, 956, 289 is 1.

Therefore, GCD of numbers 409, 160, 956, 289 is 1

Given Input Data is 409, 160, 956, 289

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

Prime Factorization of 409 is 409

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

Prime Factorization of 956 is 2 x 2 x 239

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(409, 160) = 65440

GCD(409, 160) = ( 409 x 160 ) / 65440

GCD(409, 160) = 65440 / 65440

GCD(409, 160) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 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 409, 160, 956, 289 is 1

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• GCD of 442, 194, 194, 270
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1. What is the GCD of 409, 160, 956, 289?

GCD of 409, 160, 956, 289 is 1

2. Where do I get the detailed procedure to find GCD of 409, 160, 956, 289?

You can find a detailed procedure to find GCD of 409, 160, 956, 289 on our page.

3. How to find GCD of 409, 160, 956, 289 on a calculator?

You can find the GCD of 409, 160, 956, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.