GCD of 50, 418, 178, 168 Calculator

Given Input numbers are 50, 418, 178, 168

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Greatest Common Divisior

We found the divisors of 50, 418, 178, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 418, 178, 168 is 2.

Therefore, GCD of numbers 50, 418, 178, 168 is 2

Given Input Data is 50, 418, 178, 168

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 178 is 2 x 89

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

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(50, 418) = 10450

GCD(50, 418) = ( 50 x 418 ) / 10450

GCD(50, 418) = 20900 / 10450

GCD(50, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 178

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

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

GCD(2, 178) = 356 / 178

GCD(2, 178) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 168

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

LCM(2, 168) = 168

GCD(2, 168) = ( 2 x 168 ) / 168

GCD(2, 168) = 336 / 168

GCD(2, 168) = 2

GCD of 50, 418, 178, 168 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 462, 187, 981
• GCD of 78, 650, 913, 859
• GCD of 78, 865, 426, 279
• GCD of 88, 356, 683, 532
• GCD of 44, 756, 981, 126

1. What is the GCD of 50, 418, 178, 168?

GCD of 50, 418, 178, 168 is 2

2. Where do I get the detailed procedure to find GCD of 50, 418, 178, 168?

You can find a detailed procedure to find GCD of 50, 418, 178, 168 on our page.

3. How to find GCD of 50, 418, 178, 168 on a calculator?

You can find the GCD of 50, 418, 178, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.