GCD of 218, 764, 44, 158 Calculator

Given Input numbers are 218, 764, 44, 158

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 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 218, 764, 44, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 764, 44, 158 is 2.

Therefore, GCD of numbers 218, 764, 44, 158 is 2

Given Input Data is 218, 764, 44, 158

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 158 is 2 x 79

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, 764) = 83276

GCD(218, 764) = ( 218 x 764 ) / 83276

GCD(218, 764) = 166552 / 83276

GCD(218, 764) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 44

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

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

GCD(2, 44) = 88 / 44

GCD(2, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 158

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

LCM(2, 158) = 158

GCD(2, 158) = ( 2 x 158 ) / 158

GCD(2, 158) = 316 / 158

GCD(2, 158) = 2

GCD of 218, 764, 44, 158 is 2

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1. What is the GCD of 218, 764, 44, 158?

GCD of 218, 764, 44, 158 is 2

2. Where do I get the detailed procedure to find GCD of 218, 764, 44, 158?

You can find a detailed procedure to find GCD of 218, 764, 44, 158 on our page.

3. How to find GCD of 218, 764, 44, 158 on a calculator?

You can find the GCD of 218, 764, 44, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.