GCD of 890, 362, 13, 105 Calculator

Given Input numbers are 890, 362, 13, 105

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 105

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

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

Greatest Common Divisior

We found the divisors of 890, 362, 13, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 362, 13, 105 is 1.

Therefore, GCD of numbers 890, 362, 13, 105 is 1

Given Input Data is 890, 362, 13, 105

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 362 is 2 x 181

Prime Factorization of 13 is 13

Prime Factorization of 105 is 3 x 5 x 7

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(890, 362) = 161090

GCD(890, 362) = ( 890 x 362 ) / 161090

GCD(890, 362) = 322180 / 161090

GCD(890, 362) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 890, 362, 13, 105 is 1

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1. What is the GCD of 890, 362, 13, 105?

GCD of 890, 362, 13, 105 is 1

2. Where do I get the detailed procedure to find GCD of 890, 362, 13, 105?

You can find a detailed procedure to find GCD of 890, 362, 13, 105 on our page.

3. How to find GCD of 890, 362, 13, 105 on a calculator?

You can find the GCD of 890, 362, 13, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.