GCD of 470, 466, 29, 976 Calculator

Given Input numbers are 470, 466, 29, 976

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

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

Greatest Common Divisior

We found the divisors of 470, 466, 29, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 466, 29, 976 is 1.

Therefore, GCD of numbers 470, 466, 29, 976 is 1

Given Input Data is 470, 466, 29, 976

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 466 is 2 x 233

Prime Factorization of 29 is 29

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

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(470, 466) = 109510

GCD(470, 466) = ( 470 x 466 ) / 109510

GCD(470, 466) = 219020 / 109510

GCD(470, 466) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 29

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

LCM(2, 29) = 58

GCD(2, 29) = ( 2 x 29 ) / 58

GCD(2, 29) = 58 / 58

GCD(2, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 976

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

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

GCD(1, 976) = 976 / 976

GCD(1, 976) = 1

GCD of 470, 466, 29, 976 is 1

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1. What is the GCD of 470, 466, 29, 976?

GCD of 470, 466, 29, 976 is 1

2. Where do I get the detailed procedure to find GCD of 470, 466, 29, 976?

You can find a detailed procedure to find GCD of 470, 466, 29, 976 on our page.

3. How to find GCD of 470, 466, 29, 976 on a calculator?

You can find the GCD of 470, 466, 29, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.