GCD of 476, 678, 29, 446 Calculator

Given Input numbers are 476, 678, 29, 446

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

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 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 29

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

1, 29

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 476, 678, 29, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 678, 29, 446 is 1.

Therefore, GCD of numbers 476, 678, 29, 446 is 1

Given Input Data is 476, 678, 29, 446

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

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 29 is 29

Prime Factorization of 446 is 2 x 223

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(476, 678) = 161364

GCD(476, 678) = ( 476 x 678 ) / 161364

GCD(476, 678) = 322728 / 161364

GCD(476, 678) = 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 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 476, 678, 29, 446 is 1

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1. What is the GCD of 476, 678, 29, 446?

GCD of 476, 678, 29, 446 is 1

2. Where do I get the detailed procedure to find GCD of 476, 678, 29, 446?

You can find a detailed procedure to find GCD of 476, 678, 29, 446 on our page.

3. How to find GCD of 476, 678, 29, 446 on a calculator?

You can find the GCD of 476, 678, 29, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.