GCD of 186, 326, 82, 354 Calculator

Given Input numbers are 186, 326, 82, 354

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

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 186, 326, 82, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 186, 326, 82, 354 is 2.

Therefore, GCD of numbers 186, 326, 82, 354 is 2

Given Input Data is 186, 326, 82, 354

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

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 326 is 2 x 163

Prime Factorization of 82 is 2 x 41

Prime Factorization of 354 is 2 x 3 x 59

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(186, 326) = 30318

GCD(186, 326) = ( 186 x 326 ) / 30318

GCD(186, 326) = 60636 / 30318

GCD(186, 326) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 354

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

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

GCD(2, 354) = 708 / 354

GCD(2, 354) = 2

GCD of 186, 326, 82, 354 is 2

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• GCD of 810, 993, 57, 758
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1. What is the GCD of 186, 326, 82, 354?

GCD of 186, 326, 82, 354 is 2

2. Where do I get the detailed procedure to find GCD of 186, 326, 82, 354?

You can find a detailed procedure to find GCD of 186, 326, 82, 354 on our page.

3. How to find GCD of 186, 326, 82, 354 on a calculator?

You can find the GCD of 186, 326, 82, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.