GCD of 766, 260, 218, 496 Calculator

Given Input numbers are 766, 260, 218, 496

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 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 766, 260, 218, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 260, 218, 496 is 2.

Therefore, GCD of numbers 766, 260, 218, 496 is 2

Given Input Data is 766, 260, 218, 496

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 218 is 2 x 109

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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, 260) = 99580

GCD(766, 260) = ( 766 x 260 ) / 99580

GCD(766, 260) = 199160 / 99580

GCD(766, 260) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 218

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

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

GCD(2, 218) = 436 / 218

GCD(2, 218) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 496

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

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

GCD(2, 496) = 992 / 496

GCD(2, 496) = 2

GCD of 766, 260, 218, 496 is 2

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• GCD of 665, 388, 952, 384
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1. What is the GCD of 766, 260, 218, 496?

GCD of 766, 260, 218, 496 is 2

2. Where do I get the detailed procedure to find GCD of 766, 260, 218, 496?

You can find a detailed procedure to find GCD of 766, 260, 218, 496 on our page.

3. How to find GCD of 766, 260, 218, 496 on a calculator?

You can find the GCD of 766, 260, 218, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.