GCD of 740, 180, 866, 466 Calculator

Given Input numbers are 740, 180, 866, 466

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 740, 180, 866, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 180, 866, 466 is 2.

Therefore, GCD of numbers 740, 180, 866, 466 is 2

Given Input Data is 740, 180, 866, 466

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

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

Prime Factorization of 866 is 2 x 433

Prime Factorization of 466 is 2 x 233

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(740, 180) = 6660

GCD(740, 180) = ( 740 x 180 ) / 6660

GCD(740, 180) = 133200 / 6660

GCD(740, 180) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 866

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

LCM(20, 866) = 8660

GCD(20, 866) = ( 20 x 866 ) / 8660

GCD(20, 866) = 17320 / 8660

GCD(20, 866) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 466

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

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

GCD(2, 466) = 932 / 466

GCD(2, 466) = 2

GCD of 740, 180, 866, 466 is 2

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1. What is the GCD of 740, 180, 866, 466?

GCD of 740, 180, 866, 466 is 2

2. Where do I get the detailed procedure to find GCD of 740, 180, 866, 466?

You can find a detailed procedure to find GCD of 740, 180, 866, 466 on our page.

3. How to find GCD of 740, 180, 866, 466 on a calculator?

You can find the GCD of 740, 180, 866, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.