GCD of 172, 778, 42, 824 Calculator

Given Input numbers are 172, 778, 42, 824

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 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 172, 778, 42, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 778, 42, 824 is 2.

Therefore, GCD of numbers 172, 778, 42, 824 is 2

Given Input Data is 172, 778, 42, 824

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 778 is 2 x 389

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(172, 778) = 66908

GCD(172, 778) = ( 172 x 778 ) / 66908

GCD(172, 778) = 133816 / 66908

GCD(172, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 824

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

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

GCD(2, 824) = 1648 / 824

GCD(2, 824) = 2

GCD of 172, 778, 42, 824 is 2

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1. What is the GCD of 172, 778, 42, 824?

GCD of 172, 778, 42, 824 is 2

2. Where do I get the detailed procedure to find GCD of 172, 778, 42, 824?

You can find a detailed procedure to find GCD of 172, 778, 42, 824 on our page.

3. How to find GCD of 172, 778, 42, 824 on a calculator?

You can find the GCD of 172, 778, 42, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.