GCD of 154, 218, 440, 352 Calculator

Given Input numbers are 154, 218, 440, 352

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 218

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

1, 2, 109, 218

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 154, 218, 440, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 218, 440, 352 is 2.

Therefore, GCD of numbers 154, 218, 440, 352 is 2

Given Input Data is 154, 218, 440, 352

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 218 is 2 x 109

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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(154, 218) = 16786

GCD(154, 218) = ( 154 x 218 ) / 16786

GCD(154, 218) = 33572 / 16786

GCD(154, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 440

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

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

GCD(2, 440) = 880 / 440

GCD(2, 440) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 352

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

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

GCD(2, 352) = 704 / 352

GCD(2, 352) = 2

GCD of 154, 218, 440, 352 is 2

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• GCD of 223, 932, 885, 773
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1. What is the GCD of 154, 218, 440, 352?

GCD of 154, 218, 440, 352 is 2

2. Where do I get the detailed procedure to find GCD of 154, 218, 440, 352?

You can find a detailed procedure to find GCD of 154, 218, 440, 352 on our page.

3. How to find GCD of 154, 218, 440, 352 on a calculator?

You can find the GCD of 154, 218, 440, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.