GCD of 350, 162, 208, 133 Calculator

Given Input numbers are 350, 162, 208, 133

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 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 350, 162, 208, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 162, 208, 133 is 1.

Therefore, GCD of numbers 350, 162, 208, 133 is 1

Given Input Data is 350, 162, 208, 133

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 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 133 is 7 x 19

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, 162) = 28350

GCD(350, 162) = ( 350 x 162 ) / 28350

GCD(350, 162) = 56700 / 28350

GCD(350, 162) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 208

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

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

GCD(2, 208) = 416 / 208

GCD(2, 208) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 133

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

LCM(2, 133) = 266

GCD(2, 133) = ( 2 x 133 ) / 266

GCD(2, 133) = 266 / 266

GCD(2, 133) = 1

GCD of 350, 162, 208, 133 is 1

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• GCD of 105, 984, 838, 795
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1. What is the GCD of 350, 162, 208, 133?

GCD of 350, 162, 208, 133 is 1

2. Where do I get the detailed procedure to find GCD of 350, 162, 208, 133?

You can find a detailed procedure to find GCD of 350, 162, 208, 133 on our page.

3. How to find GCD of 350, 162, 208, 133 on a calculator?

You can find the GCD of 350, 162, 208, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.