GCD of 37, 364, 872, 343 Calculator

Given Input numbers are 37, 364, 872, 343

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 37, 364, 872, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 364, 872, 343 is 1.

Therefore, GCD of numbers 37, 364, 872, 343 is 1

Given Input Data is 37, 364, 872, 343

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

Prime Factorization of 37 is 37

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 343 is 7 x 7 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(37, 364) = 13468

GCD(37, 364) = ( 37 x 364 ) / 13468

GCD(37, 364) = 13468 / 13468

GCD(37, 364) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 37, 364, 872, 343 is 1

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• GCD of 54, 309, 515, 829
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1. What is the GCD of 37, 364, 872, 343?

GCD of 37, 364, 872, 343 is 1

2. Where do I get the detailed procedure to find GCD of 37, 364, 872, 343?

You can find a detailed procedure to find GCD of 37, 364, 872, 343 on our page.

3. How to find GCD of 37, 364, 872, 343 on a calculator?

You can find the GCD of 37, 364, 872, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.