GCD of 160, 214, 33, 243 Calculator

Given Input numbers are 160, 214, 33, 243

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 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 160, 214, 33, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 214, 33, 243 is 1.

Therefore, GCD of numbers 160, 214, 33, 243 is 1

Given Input Data is 160, 214, 33, 243

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 214 is 2 x 107

Prime Factorization of 33 is 3 x 11

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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, 214) = 17120

GCD(160, 214) = ( 160 x 214 ) / 17120

GCD(160, 214) = 34240 / 17120

GCD(160, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 243

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

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

GCD(1, 243) = 243 / 243

GCD(1, 243) = 1

GCD of 160, 214, 33, 243 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 846, 61, 425
• GCD of 853, 264, 54, 828
• GCD of 343, 960, 19, 206
• GCD of 591, 991, 31, 502
• GCD of 660, 695, 62, 944

1. What is the GCD of 160, 214, 33, 243?

GCD of 160, 214, 33, 243 is 1

2. Where do I get the detailed procedure to find GCD of 160, 214, 33, 243?

You can find a detailed procedure to find GCD of 160, 214, 33, 243 on our page.

3. How to find GCD of 160, 214, 33, 243 on a calculator?

You can find the GCD of 160, 214, 33, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.