GCD of 337, 149, 21, 370 Calculator

Given Input numbers are 337, 149, 21, 370

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

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 337, 149, 21, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 337, 149, 21, 370 is 1.

Therefore, GCD of numbers 337, 149, 21, 370 is 1

Given Input Data is 337, 149, 21, 370

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

Prime Factorization of 337 is 337

Prime Factorization of 149 is 149

Prime Factorization of 21 is 3 x 7

Prime Factorization of 370 is 2 x 5 x 37

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(337, 149) = 50213

GCD(337, 149) = ( 337 x 149 ) / 50213

GCD(337, 149) = 50213 / 50213

GCD(337, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 337, 149, 21, 370 is 1

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1. What is the GCD of 337, 149, 21, 370?

GCD of 337, 149, 21, 370 is 1

2. Where do I get the detailed procedure to find GCD of 337, 149, 21, 370?

You can find a detailed procedure to find GCD of 337, 149, 21, 370 on our page.

3. How to find GCD of 337, 149, 21, 370 on a calculator?

You can find the GCD of 337, 149, 21, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.