GCD of 176, 976, 418 Calculator

Given Input numbers are 176, 976, 418

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

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 176, 976, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 976, 418 is 2.

Therefore, GCD of numbers 176, 976, 418 is 2

Given Input Data is 176, 976, 418

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

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 418 is 2 x 11 x 19

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(176, 976) = 10736

GCD(176, 976) = ( 176 x 976 ) / 10736

GCD(176, 976) = 171776 / 10736

GCD(176, 976) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 418

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

LCM(16, 418) = 3344

GCD(16, 418) = ( 16 x 418 ) / 3344

GCD(16, 418) = 6688 / 3344

GCD(16, 418) = 2

GCD of 176, 976, 418 is 2

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1. What is the GCD of 176, 976, 418?

GCD of 176, 976, 418 is 2

2. Where do I get the detailed procedure to find GCD of 176, 976, 418?

You can find a detailed procedure to find GCD of 176, 976, 418 on our page.

3. How to find GCD of 176, 976, 418 on a calculator?

You can find the GCD of 176, 976, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.