GCD of 314, 905, 41, 969 Calculator

Given Input numbers are 314, 905, 41, 969

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 314, 905, 41, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 905, 41, 969 is 1.

Therefore, GCD of numbers 314, 905, 41, 969 is 1

Given Input Data is 314, 905, 41, 969

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 905 is 5 x 181

Prime Factorization of 41 is 41

Prime Factorization of 969 is 3 x 17 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(314, 905) = 284170

GCD(314, 905) = ( 314 x 905 ) / 284170

GCD(314, 905) = 284170 / 284170

GCD(314, 905) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 314, 905, 41, 969 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 959, 47, 461
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• GCD of 566, 166, 94, 146

1. What is the GCD of 314, 905, 41, 969?

GCD of 314, 905, 41, 969 is 1

2. Where do I get the detailed procedure to find GCD of 314, 905, 41, 969?

You can find a detailed procedure to find GCD of 314, 905, 41, 969 on our page.

3. How to find GCD of 314, 905, 41, 969 on a calculator?

You can find the GCD of 314, 905, 41, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.