GCD of 540, 366, 410, 766 Calculator

Given Input numbers are 540, 366, 410, 766

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

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 540, 366, 410, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 366, 410, 766 is 2.

Therefore, GCD of numbers 540, 366, 410, 766 is 2

Given Input Data is 540, 366, 410, 766

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 766 is 2 x 383

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(540, 366) = 32940

GCD(540, 366) = ( 540 x 366 ) / 32940

GCD(540, 366) = 197640 / 32940

GCD(540, 366) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 410

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

LCM(6, 410) = 1230

GCD(6, 410) = ( 6 x 410 ) / 1230

GCD(6, 410) = 2460 / 1230

GCD(6, 410) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 766

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

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

GCD(2, 766) = 1532 / 766

GCD(2, 766) = 2

GCD of 540, 366, 410, 766 is 2

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1. What is the GCD of 540, 366, 410, 766?

GCD of 540, 366, 410, 766 is 2

2. Where do I get the detailed procedure to find GCD of 540, 366, 410, 766?

You can find a detailed procedure to find GCD of 540, 366, 410, 766 on our page.

3. How to find GCD of 540, 366, 410, 766 on a calculator?

You can find the GCD of 540, 366, 410, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.