GCD of 336, 349, 89, 900 Calculator

Given Input numbers are 336, 349, 89, 900

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 89

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

1, 89

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 336, 349, 89, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 349, 89, 900 is 1.

Therefore, GCD of numbers 336, 349, 89, 900 is 1

Given Input Data is 336, 349, 89, 900

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 349 is 349

Prime Factorization of 89 is 89

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(336, 349) = 117264

GCD(336, 349) = ( 336 x 349 ) / 117264

GCD(336, 349) = 117264 / 117264

GCD(336, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 336, 349, 89, 900 is 1

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1. What is the GCD of 336, 349, 89, 900?

GCD of 336, 349, 89, 900 is 1

2. Where do I get the detailed procedure to find GCD of 336, 349, 89, 900?

You can find a detailed procedure to find GCD of 336, 349, 89, 900 on our page.

3. How to find GCD of 336, 349, 89, 900 on a calculator?

You can find the GCD of 336, 349, 89, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.