GCD of 105, 408, 668, 385 Calculator

Given Input numbers are 105, 408, 668, 385

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 105, 408, 668, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 408, 668, 385 is 1.

Therefore, GCD of numbers 105, 408, 668, 385 is 1

Given Input Data is 105, 408, 668, 385

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 385 is 5 x 7 x 11

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(105, 408) = 14280

GCD(105, 408) = ( 105 x 408 ) / 14280

GCD(105, 408) = 42840 / 14280

GCD(105, 408) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 668

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

LCM(3, 668) = 2004

GCD(3, 668) = ( 3 x 668 ) / 2004

GCD(3, 668) = 2004 / 2004

GCD(3, 668) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 105, 408, 668, 385 is 1

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• GCD of 158, 370, 705, 120
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1. What is the GCD of 105, 408, 668, 385?

GCD of 105, 408, 668, 385 is 1

2. Where do I get the detailed procedure to find GCD of 105, 408, 668, 385?

You can find a detailed procedure to find GCD of 105, 408, 668, 385 on our page.

3. How to find GCD of 105, 408, 668, 385 on a calculator?

You can find the GCD of 105, 408, 668, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.