GCD of 350, 458, 89, 326 Calculator

Given Input numbers are 350, 458, 89, 326

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 89

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

1, 89

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 350, 458, 89, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 458, 89, 326 is 1.

Therefore, GCD of numbers 350, 458, 89, 326 is 1

Given Input Data is 350, 458, 89, 326

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 458 is 2 x 229

Prime Factorization of 89 is 89

Prime Factorization of 326 is 2 x 163

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(350, 458) = 80150

GCD(350, 458) = ( 350 x 458 ) / 80150

GCD(350, 458) = 160300 / 80150

GCD(350, 458) = 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 326

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

LCM(1, 326) = 326

GCD(1, 326) = ( 1 x 326 ) / 326

GCD(1, 326) = 326 / 326

GCD(1, 326) = 1

GCD of 350, 458, 89, 326 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 394, 85, 246
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• GCD of 916, 315, 49, 531

1. What is the GCD of 350, 458, 89, 326?

GCD of 350, 458, 89, 326 is 1

2. Where do I get the detailed procedure to find GCD of 350, 458, 89, 326?

You can find a detailed procedure to find GCD of 350, 458, 89, 326 on our page.

3. How to find GCD of 350, 458, 89, 326 on a calculator?

You can find the GCD of 350, 458, 89, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.