GCD of 476, 346, 376, 218 Calculator

Given Input numbers are 476, 346, 376, 218

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

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 476, 346, 376, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 346, 376, 218 is 2.

Therefore, GCD of numbers 476, 346, 376, 218 is 2

Given Input Data is 476, 346, 376, 218

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 346 is 2 x 173

Prime Factorization of 376 is 2 x 2 x 2 x 47

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(476, 346) = 82348

GCD(476, 346) = ( 476 x 346 ) / 82348

GCD(476, 346) = 164696 / 82348

GCD(476, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 376

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

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

GCD(2, 376) = 752 / 376

GCD(2, 376) = 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 476, 346, 376, 218 is 2

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1. What is the GCD of 476, 346, 376, 218?

GCD of 476, 346, 376, 218 is 2

2. Where do I get the detailed procedure to find GCD of 476, 346, 376, 218?

You can find a detailed procedure to find GCD of 476, 346, 376, 218 on our page.

3. How to find GCD of 476, 346, 376, 218 on a calculator?

You can find the GCD of 476, 346, 376, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.