GCD of 916, 942, 214, 218 Calculator

Given Input numbers are 916, 942, 214, 218

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

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 916, 942, 214, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 942, 214, 218 is 2.

Therefore, GCD of numbers 916, 942, 214, 218 is 2

Given Input Data is 916, 942, 214, 218

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 214 is 2 x 107

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(916, 942) = 431436

GCD(916, 942) = ( 916 x 942 ) / 431436

GCD(916, 942) = 862872 / 431436

GCD(916, 942) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 214

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

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

GCD(2, 214) = 428 / 214

GCD(2, 214) = 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 916, 942, 214, 218 is 2

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1. What is the GCD of 916, 942, 214, 218?

GCD of 916, 942, 214, 218 is 2

2. Where do I get the detailed procedure to find GCD of 916, 942, 214, 218?

You can find a detailed procedure to find GCD of 916, 942, 214, 218 on our page.

3. How to find GCD of 916, 942, 214, 218 on a calculator?

You can find the GCD of 916, 942, 214, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.