GCD of 166, 752, 476, 464 Calculator

Given Input numbers are 166, 752, 476, 464

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

Divisors of 166

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

1, 2, 83, 166

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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 166, 752, 476, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 166, 752, 476, 464 is 2.

Therefore, GCD of numbers 166, 752, 476, 464 is 2

Given Input Data is 166, 752, 476, 464

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

Prime Factorization of 166 is 2 x 83

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 476 is 2 x 2 x 7 x 17

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(166, 752) = 62416

GCD(166, 752) = ( 166 x 752 ) / 62416

GCD(166, 752) = 124832 / 62416

GCD(166, 752) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 476

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

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

GCD(2, 476) = 952 / 476

GCD(2, 476) = 2

Step3:

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 166, 752, 476, 464 is 2

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1. What is the GCD of 166, 752, 476, 464?

GCD of 166, 752, 476, 464 is 2

2. Where do I get the detailed procedure to find GCD of 166, 752, 476, 464?

You can find a detailed procedure to find GCD of 166, 752, 476, 464 on our page.

3. How to find GCD of 166, 752, 476, 464 on a calculator?

You can find the GCD of 166, 752, 476, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.