GCD of 395, 208, 941, 123 Calculator

Given Input numbers are 395, 208, 941, 123

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

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 395, 208, 941, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 208, 941, 123 is 1.

Therefore, GCD of numbers 395, 208, 941, 123 is 1

Given Input Data is 395, 208, 941, 123

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 941 is 941

Prime Factorization of 123 is 3 x 41

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(395, 208) = 82160

GCD(395, 208) = ( 395 x 208 ) / 82160

GCD(395, 208) = 82160 / 82160

GCD(395, 208) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 941

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

LCM(1, 941) = 941

GCD(1, 941) = ( 1 x 941 ) / 941

GCD(1, 941) = 941 / 941

GCD(1, 941) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 395, 208, 941, 123 is 1

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1. What is the GCD of 395, 208, 941, 123?

GCD of 395, 208, 941, 123 is 1

2. Where do I get the detailed procedure to find GCD of 395, 208, 941, 123?

You can find a detailed procedure to find GCD of 395, 208, 941, 123 on our page.

3. How to find GCD of 395, 208, 941, 123 on a calculator?

You can find the GCD of 395, 208, 941, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.