GCD of 608, 786, 882, 218 Calculator

Given Input numbers are 608, 786, 882, 218

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

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

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 608, 786, 882, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 786, 882, 218 is 2.

Therefore, GCD of numbers 608, 786, 882, 218 is 2

Given Input Data is 608, 786, 882, 218

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

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 882 is 2 x 3 x 3 x 7 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(608, 786) = 238944

GCD(608, 786) = ( 608 x 786 ) / 238944

GCD(608, 786) = 477888 / 238944

GCD(608, 786) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 882

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

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

GCD(2, 882) = 1764 / 882

GCD(2, 882) = 2

Step3:

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 608, 786, 882, 218 is 2

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1. What is the GCD of 608, 786, 882, 218?

GCD of 608, 786, 882, 218 is 2

2. Where do I get the detailed procedure to find GCD of 608, 786, 882, 218?

You can find a detailed procedure to find GCD of 608, 786, 882, 218 on our page.

3. How to find GCD of 608, 786, 882, 218 on a calculator?

You can find the GCD of 608, 786, 882, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.