GCD of 667, 276, 344, 474 Calculator

Given Input numbers are 667, 276, 344, 474

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

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 667, 276, 344, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 276, 344, 474 is 1.

Therefore, GCD of numbers 667, 276, 344, 474 is 1

Given Input Data is 667, 276, 344, 474

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

Prime Factorization of 667 is 23 x 29

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 474 is 2 x 3 x 79

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(667, 276) = 8004

GCD(667, 276) = ( 667 x 276 ) / 8004

GCD(667, 276) = 184092 / 8004

GCD(667, 276) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 344

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

LCM(23, 344) = 7912

GCD(23, 344) = ( 23 x 344 ) / 7912

GCD(23, 344) = 7912 / 7912

GCD(23, 344) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 667, 276, 344, 474 is 1

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1. What is the GCD of 667, 276, 344, 474?

GCD of 667, 276, 344, 474 is 1

2. Where do I get the detailed procedure to find GCD of 667, 276, 344, 474?

You can find a detailed procedure to find GCD of 667, 276, 344, 474 on our page.

3. How to find GCD of 667, 276, 344, 474 on a calculator?

You can find the GCD of 667, 276, 344, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.