GCD of 849, 456, 37, 174 Calculator

Given Input numbers are 849, 456, 37, 174

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

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 37

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

1, 37

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 849, 456, 37, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 456, 37, 174 is 1.

Therefore, GCD of numbers 849, 456, 37, 174 is 1

Given Input Data is 849, 456, 37, 174

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 37 is 37

Prime Factorization of 174 is 2 x 3 x 29

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(849, 456) = 129048

GCD(849, 456) = ( 849 x 456 ) / 129048

GCD(849, 456) = 387144 / 129048

GCD(849, 456) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 37

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

LCM(3, 37) = 111

GCD(3, 37) = ( 3 x 37 ) / 111

GCD(3, 37) = 111 / 111

GCD(3, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 849, 456, 37, 174 is 1

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• GCD of 643, 512, 64, 235
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• GCD of 106, 386, 61, 257

1. What is the GCD of 849, 456, 37, 174?

GCD of 849, 456, 37, 174 is 1

2. Where do I get the detailed procedure to find GCD of 849, 456, 37, 174?

You can find a detailed procedure to find GCD of 849, 456, 37, 174 on our page.

3. How to find GCD of 849, 456, 37, 174 on a calculator?

You can find the GCD of 849, 456, 37, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.