GCD of 669, 321, 377, 854 Calculator

Given Input numbers are 669, 321, 377, 854

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

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 669, 321, 377, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 669, 321, 377, 854 is 1.

Therefore, GCD of numbers 669, 321, 377, 854 is 1

Given Input Data is 669, 321, 377, 854

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

Prime Factorization of 669 is 3 x 223

Prime Factorization of 321 is 3 x 107

Prime Factorization of 377 is 13 x 29

Prime Factorization of 854 is 2 x 7 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(669, 321) = 71583

GCD(669, 321) = ( 669 x 321 ) / 71583

GCD(669, 321) = 214749 / 71583

GCD(669, 321) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 377

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

LCM(3, 377) = 1131

GCD(3, 377) = ( 3 x 377 ) / 1131

GCD(3, 377) = 1131 / 1131

GCD(3, 377) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 669, 321, 377, 854 is 1

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1. What is the GCD of 669, 321, 377, 854?

GCD of 669, 321, 377, 854 is 1

2. Where do I get the detailed procedure to find GCD of 669, 321, 377, 854?

You can find a detailed procedure to find GCD of 669, 321, 377, 854 on our page.

3. How to find GCD of 669, 321, 377, 854 on a calculator?

You can find the GCD of 669, 321, 377, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.