GCD of 37, 838, 353, 260 Calculator

Given Input numbers are 37, 838, 353, 260

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

Divisors of 37

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

1, 37

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 37, 838, 353, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 838, 353, 260 is 1.

Therefore, GCD of numbers 37, 838, 353, 260 is 1

Given Input Data is 37, 838, 353, 260

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

Prime Factorization of 37 is 37

Prime Factorization of 838 is 2 x 419

Prime Factorization of 353 is 353

Prime Factorization of 260 is 2 x 2 x 5 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(37, 838) = 31006

GCD(37, 838) = ( 37 x 838 ) / 31006

GCD(37, 838) = 31006 / 31006

GCD(37, 838) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 37, 838, 353, 260 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 559, 844, 740
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• GCD of 31, 871, 129, 356
• GCD of 57, 648, 847, 646
• GCD of 70, 725, 824, 860

1. What is the GCD of 37, 838, 353, 260?

GCD of 37, 838, 353, 260 is 1

2. Where do I get the detailed procedure to find GCD of 37, 838, 353, 260?

You can find a detailed procedure to find GCD of 37, 838, 353, 260 on our page.

3. How to find GCD of 37, 838, 353, 260 on a calculator?

You can find the GCD of 37, 838, 353, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.