GCD of 334, 475, 456, 166 Calculator

Given Input numbers are 334, 475, 456, 166

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Greatest Common Divisior

We found the divisors of 334, 475, 456, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 475, 456, 166 is 1.

Therefore, GCD of numbers 334, 475, 456, 166 is 1

Given Input Data is 334, 475, 456, 166

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 166 is 2 x 83

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(334, 475) = 158650

GCD(334, 475) = ( 334 x 475 ) / 158650

GCD(334, 475) = 158650 / 158650

GCD(334, 475) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 166

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

LCM(1, 166) = 166

GCD(1, 166) = ( 1 x 166 ) / 166

GCD(1, 166) = 166 / 166

GCD(1, 166) = 1

GCD of 334, 475, 456, 166 is 1

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• GCD of 908, 661, 481, 824
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• GCD of 363, 458, 776, 326

1. What is the GCD of 334, 475, 456, 166?

GCD of 334, 475, 456, 166 is 1

2. Where do I get the detailed procedure to find GCD of 334, 475, 456, 166?

You can find a detailed procedure to find GCD of 334, 475, 456, 166 on our page.

3. How to find GCD of 334, 475, 456, 166 on a calculator?

You can find the GCD of 334, 475, 456, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.