GCD of 788, 850, 172, 944 Calculator

Given Input numbers are 788, 850, 172, 944

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 172

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

1, 2, 4, 43, 86, 172

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 788, 850, 172, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 850, 172, 944 is 2.

Therefore, GCD of numbers 788, 850, 172, 944 is 2

Given Input Data is 788, 850, 172, 944

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(788, 850) = 334900

GCD(788, 850) = ( 788 x 850 ) / 334900

GCD(788, 850) = 669800 / 334900

GCD(788, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 172

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

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

GCD(2, 172) = 344 / 172

GCD(2, 172) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 944

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

LCM(2, 944) = 944

GCD(2, 944) = ( 2 x 944 ) / 944

GCD(2, 944) = 1888 / 944

GCD(2, 944) = 2

GCD of 788, 850, 172, 944 is 2

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1. What is the GCD of 788, 850, 172, 944?

GCD of 788, 850, 172, 944 is 2

2. Where do I get the detailed procedure to find GCD of 788, 850, 172, 944?

You can find a detailed procedure to find GCD of 788, 850, 172, 944 on our page.

3. How to find GCD of 788, 850, 172, 944 on a calculator?

You can find the GCD of 788, 850, 172, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.