GCD of 469, 218, 16, 176 Calculator

Given Input numbers are 469, 218, 16, 176

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

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 218

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

1, 2, 109, 218

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

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

Greatest Common Divisior

We found the divisors of 469, 218, 16, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 218, 16, 176 is 1.

Therefore, GCD of numbers 469, 218, 16, 176 is 1

Given Input Data is 469, 218, 16, 176

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

Prime Factorization of 469 is 7 x 67

Prime Factorization of 218 is 2 x 109

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

The above numbers do not have any common prime factor. So GCD is 1

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(469, 218) = 102242

GCD(469, 218) = ( 469 x 218 ) / 102242

GCD(469, 218) = 102242 / 102242

GCD(469, 218) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

GCD of 469, 218, 16, 176 is 1

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• GCD of 692, 740, 20, 146
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1. What is the GCD of 469, 218, 16, 176?

GCD of 469, 218, 16, 176 is 1

2. Where do I get the detailed procedure to find GCD of 469, 218, 16, 176?

You can find a detailed procedure to find GCD of 469, 218, 16, 176 on our page.

3. How to find GCD of 469, 218, 16, 176 on a calculator?

You can find the GCD of 469, 218, 16, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.