GCD of 890, 299, 37, 107 Calculator

Given Input numbers are 890, 299, 37, 107

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 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 890, 299, 37, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 299, 37, 107 is 1.

Therefore, GCD of numbers 890, 299, 37, 107 is 1

Given Input Data is 890, 299, 37, 107

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 299 is 13 x 23

Prime Factorization of 37 is 37

Prime Factorization of 107 is 107

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, 299) = 266110

GCD(890, 299) = ( 890 x 299 ) / 266110

GCD(890, 299) = 266110 / 266110

GCD(890, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 890, 299, 37, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 228, 19, 797
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• GCD of 636, 417, 71, 378
• GCD of 180, 102, 47, 880

1. What is the GCD of 890, 299, 37, 107?

GCD of 890, 299, 37, 107 is 1

2. Where do I get the detailed procedure to find GCD of 890, 299, 37, 107?

You can find a detailed procedure to find GCD of 890, 299, 37, 107 on our page.

3. How to find GCD of 890, 299, 37, 107 on a calculator?

You can find the GCD of 890, 299, 37, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.