GCD of 766, 466, 18, 490 Calculator

Given Input numbers are 766, 466, 18, 490

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

Divisors of 766

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

1, 2, 383, 766

Divisors of 466

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

1, 2, 233, 466

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 766, 466, 18, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 466, 18, 490 is 2.

Therefore, GCD of numbers 766, 466, 18, 490 is 2

Given Input Data is 766, 466, 18, 490

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 466 is 2 x 233

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 490 is 2 x 5 x 7 x 7

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(766, 466) = 178478

GCD(766, 466) = ( 766 x 466 ) / 178478

GCD(766, 466) = 356956 / 178478

GCD(766, 466) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 490

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

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

GCD(2, 490) = 980 / 490

GCD(2, 490) = 2

GCD of 766, 466, 18, 490 is 2

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1. What is the GCD of 766, 466, 18, 490?

GCD of 766, 466, 18, 490 is 2

2. Where do I get the detailed procedure to find GCD of 766, 466, 18, 490?

You can find a detailed procedure to find GCD of 766, 466, 18, 490 on our page.

3. How to find GCD of 766, 466, 18, 490 on a calculator?

You can find the GCD of 766, 466, 18, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.