GCD of 890, 385, 37, 338 Calculator

Given Input numbers are 890, 385, 37, 338

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 385

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

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

Divisors of 37

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

1, 37

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 890, 385, 37, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 385, 37, 338 is 1.

Therefore, GCD of numbers 890, 385, 37, 338 is 1

Given Input Data is 890, 385, 37, 338

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 385 is 5 x 7 x 11

Prime Factorization of 37 is 37

Prime Factorization of 338 is 2 x 13 x 13

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, 385) = 68530

GCD(890, 385) = ( 890 x 385 ) / 68530

GCD(890, 385) = 342650 / 68530

GCD(890, 385) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 37

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

LCM(5, 37) = 185

GCD(5, 37) = ( 5 x 37 ) / 185

GCD(5, 37) = 185 / 185

GCD(5, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 890, 385, 37, 338 is 1

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1. What is the GCD of 890, 385, 37, 338?

GCD of 890, 385, 37, 338 is 1

2. Where do I get the detailed procedure to find GCD of 890, 385, 37, 338?

You can find a detailed procedure to find GCD of 890, 385, 37, 338 on our page.

3. How to find GCD of 890, 385, 37, 338 on a calculator?

You can find the GCD of 890, 385, 37, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.