GCD of 366, 574, 340 Calculator

Given Input numbers are 366, 574, 340

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

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 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 366, 574, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 574, 340 is 2.

Therefore, GCD of numbers 366, 574, 340 is 2

Given Input Data is 366, 574, 340

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 340 is 2 x 2 x 5 x 17

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(366, 574) = 105042

GCD(366, 574) = ( 366 x 574 ) / 105042

GCD(366, 574) = 210084 / 105042

GCD(366, 574) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 340

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

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

GCD(2, 340) = 680 / 340

GCD(2, 340) = 2

GCD of 366, 574, 340 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 869, 171
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1. What is the GCD of 366, 574, 340?

GCD of 366, 574, 340 is 2

2. Where do I get the detailed procedure to find GCD of 366, 574, 340?

You can find a detailed procedure to find GCD of 366, 574, 340 on our page.

3. How to find GCD of 366, 574, 340 on a calculator?

You can find the GCD of 366, 574, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.