GCD of 874, 756, 218 Calculator

Given Input numbers are 874, 756, 218

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 218

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

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 874, 756, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 756, 218 is 2.

Therefore, GCD of numbers 874, 756, 218 is 2

Given Input Data is 874, 756, 218

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 218 is 2 x 109

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(874, 756) = 330372

GCD(874, 756) = ( 874 x 756 ) / 330372

GCD(874, 756) = 660744 / 330372

GCD(874, 756) = 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

GCD of 874, 756, 218 is 2

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1. What is the GCD of 874, 756, 218?

GCD of 874, 756, 218 is 2

2. Where do I get the detailed procedure to find GCD of 874, 756, 218?

You can find a detailed procedure to find GCD of 874, 756, 218 on our page.

3. How to find GCD of 874, 756, 218 on a calculator?

You can find the GCD of 874, 756, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.