GCD of 667, 375, 447, 684 Calculator

Given Input numbers are 667, 375, 447, 684

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 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 667, 375, 447, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 375, 447, 684 is 1.

Therefore, GCD of numbers 667, 375, 447, 684 is 1

Given Input Data is 667, 375, 447, 684

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

Prime Factorization of 667 is 23 x 29

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 447 is 3 x 149

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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, 375) = 250125

GCD(667, 375) = ( 667 x 375 ) / 250125

GCD(667, 375) = 250125 / 250125

GCD(667, 375) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 447

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

LCM(1, 447) = 447

GCD(1, 447) = ( 1 x 447 ) / 447

GCD(1, 447) = 447 / 447

GCD(1, 447) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 667, 375, 447, 684 is 1

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1. What is the GCD of 667, 375, 447, 684?

GCD of 667, 375, 447, 684 is 1

2. Where do I get the detailed procedure to find GCD of 667, 375, 447, 684?

You can find a detailed procedure to find GCD of 667, 375, 447, 684 on our page.

3. How to find GCD of 667, 375, 447, 684 on a calculator?

You can find the GCD of 667, 375, 447, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.