GCD of 43, 357, 180, 285 Calculator

Given Input numbers are 43, 357, 180, 285

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

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 43, 357, 180, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 357, 180, 285 is 1.

Therefore, GCD of numbers 43, 357, 180, 285 is 1

Given Input Data is 43, 357, 180, 285

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

Prime Factorization of 43 is 43

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 285 is 3 x 5 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(43, 357) = 15351

GCD(43, 357) = ( 43 x 357 ) / 15351

GCD(43, 357) = 15351 / 15351

GCD(43, 357) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 285

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

LCM(1, 285) = 285

GCD(1, 285) = ( 1 x 285 ) / 285

GCD(1, 285) = 285 / 285

GCD(1, 285) = 1

GCD of 43, 357, 180, 285 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 101, 794, 149
• GCD of 19, 592, 819, 841
• GCD of 42, 342, 378, 137
• GCD of 70, 683, 877, 919
• GCD of 34, 759, 619, 763

1. What is the GCD of 43, 357, 180, 285?

GCD of 43, 357, 180, 285 is 1

2. Where do I get the detailed procedure to find GCD of 43, 357, 180, 285?

You can find a detailed procedure to find GCD of 43, 357, 180, 285 on our page.

3. How to find GCD of 43, 357, 180, 285 on a calculator?

You can find the GCD of 43, 357, 180, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.