GCD of 218, 892, 674 Calculator

Given Input numbers are 218, 892, 674

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

Divisors of 218

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

1, 2, 109, 218

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 218, 892, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 892, 674 is 2.

Therefore, GCD of numbers 218, 892, 674 is 2

Given Input Data is 218, 892, 674

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 674 is 2 x 337

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(218, 892) = 97228

GCD(218, 892) = ( 218 x 892 ) / 97228

GCD(218, 892) = 194456 / 97228

GCD(218, 892) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 674

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

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

GCD(2, 674) = 1348 / 674

GCD(2, 674) = 2

GCD of 218, 892, 674 is 2

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1. What is the GCD of 218, 892, 674?

GCD of 218, 892, 674 is 2

2. Where do I get the detailed procedure to find GCD of 218, 892, 674?

You can find a detailed procedure to find GCD of 218, 892, 674 on our page.

3. How to find GCD of 218, 892, 674 on a calculator?

You can find the GCD of 218, 892, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.