GCD of 90, 543, 682, 166 Calculator

Given Input numbers are 90, 543, 682, 166

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Greatest Common Divisior

We found the divisors of 90, 543, 682, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 543, 682, 166 is 1.

Therefore, GCD of numbers 90, 543, 682, 166 is 1

Given Input Data is 90, 543, 682, 166

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 543 is 3 x 181

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 166 is 2 x 83

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(90, 543) = 16290

GCD(90, 543) = ( 90 x 543 ) / 16290

GCD(90, 543) = 48870 / 16290

GCD(90, 543) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 682

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

LCM(3, 682) = 2046

GCD(3, 682) = ( 3 x 682 ) / 2046

GCD(3, 682) = 2046 / 2046

GCD(3, 682) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 166

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

LCM(1, 166) = 166

GCD(1, 166) = ( 1 x 166 ) / 166

GCD(1, 166) = 166 / 166

GCD(1, 166) = 1

GCD of 90, 543, 682, 166 is 1

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• GCD of 24, 194, 800, 570
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1. What is the GCD of 90, 543, 682, 166?

GCD of 90, 543, 682, 166 is 1

2. Where do I get the detailed procedure to find GCD of 90, 543, 682, 166?

You can find a detailed procedure to find GCD of 90, 543, 682, 166 on our page.

3. How to find GCD of 90, 543, 682, 166 on a calculator?

You can find the GCD of 90, 543, 682, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.