GCD of 172, 448, 937, 843 Calculator

Given Input numbers are 172, 448, 937, 843

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 937

List of positive integer divisors of 937 that divides 937 without a remainder.

1, 937

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Greatest Common Divisior

We found the divisors of 172, 448, 937, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 448, 937, 843 is 1.

Therefore, GCD of numbers 172, 448, 937, 843 is 1

Given Input Data is 172, 448, 937, 843

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 937 is 937

Prime Factorization of 843 is 3 x 281

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(172, 448) = 19264

GCD(172, 448) = ( 172 x 448 ) / 19264

GCD(172, 448) = 77056 / 19264

GCD(172, 448) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 937

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

LCM(4, 937) = 3748

GCD(4, 937) = ( 4 x 937 ) / 3748

GCD(4, 937) = 3748 / 3748

GCD(4, 937) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 843

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

LCM(1, 843) = 843

GCD(1, 843) = ( 1 x 843 ) / 843

GCD(1, 843) = 843 / 843

GCD(1, 843) = 1

GCD of 172, 448, 937, 843 is 1

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1. What is the GCD of 172, 448, 937, 843?

GCD of 172, 448, 937, 843 is 1

2. Where do I get the detailed procedure to find GCD of 172, 448, 937, 843?

You can find a detailed procedure to find GCD of 172, 448, 937, 843 on our page.

3. How to find GCD of 172, 448, 937, 843 on a calculator?

You can find the GCD of 172, 448, 937, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.