GCD of 176, 378, 464 Calculator

Given Input numbers are 176, 378, 464

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 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 176, 378, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 378, 464 is 2.

Therefore, GCD of numbers 176, 378, 464 is 2

Given Input Data is 176, 378, 464

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 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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, 378) = 33264

GCD(176, 378) = ( 176 x 378 ) / 33264

GCD(176, 378) = 66528 / 33264

GCD(176, 378) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

GCD of 176, 378, 464 is 2

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• GCD of 751, 714, 665
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1. What is the GCD of 176, 378, 464?

GCD of 176, 378, 464 is 2

2. Where do I get the detailed procedure to find GCD of 176, 378, 464?

You can find a detailed procedure to find GCD of 176, 378, 464 on our page.

3. How to find GCD of 176, 378, 464 on a calculator?

You can find the GCD of 176, 378, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.