GCD of 180, 158, 574, 566 Calculator

Given Input numbers are 180, 158, 574, 566

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

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 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 180, 158, 574, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 158, 574, 566 is 2.

Therefore, GCD of numbers 180, 158, 574, 566 is 2

Given Input Data is 180, 158, 574, 566

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

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

Prime Factorization of 158 is 2 x 79

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 566 is 2 x 283

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(180, 158) = 14220

GCD(180, 158) = ( 180 x 158 ) / 14220

GCD(180, 158) = 28440 / 14220

GCD(180, 158) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 574

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

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

GCD(2, 574) = 1148 / 574

GCD(2, 574) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 566

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

LCM(2, 566) = 566

GCD(2, 566) = ( 2 x 566 ) / 566

GCD(2, 566) = 1132 / 566

GCD(2, 566) = 2

GCD of 180, 158, 574, 566 is 2

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• GCD of 218, 182, 236, 833
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1. What is the GCD of 180, 158, 574, 566?

GCD of 180, 158, 574, 566 is 2

2. Where do I get the detailed procedure to find GCD of 180, 158, 574, 566?

You can find a detailed procedure to find GCD of 180, 158, 574, 566 on our page.

3. How to find GCD of 180, 158, 574, 566 on a calculator?

You can find the GCD of 180, 158, 574, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.