GCD of 108, 702, 50, 578 Calculator

Given Input numbers are 108, 702, 50, 578

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 108, 702, 50, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 702, 50, 578 is 2.

Therefore, GCD of numbers 108, 702, 50, 578 is 2

Given Input Data is 108, 702, 50, 578

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 578 is 2 x 17 x 17

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(108, 702) = 1404

GCD(108, 702) = ( 108 x 702 ) / 1404

GCD(108, 702) = 75816 / 1404

GCD(108, 702) = 54

Step2:

Here we consider the GCD from the above i.e. 54 as first number and the next as 50

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

LCM(54, 50) = 1350

GCD(54, 50) = ( 54 x 50 ) / 1350

GCD(54, 50) = 2700 / 1350

GCD(54, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 578

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

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

GCD(2, 578) = 1156 / 578

GCD(2, 578) = 2

GCD of 108, 702, 50, 578 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 357, 532, 30, 797
• GCD of 497, 470, 13, 464
• GCD of 614, 321, 19, 510
• GCD of 798, 159, 73, 550
• GCD of 837, 151, 76, 408

1. What is the GCD of 108, 702, 50, 578?

GCD of 108, 702, 50, 578 is 2

2. Where do I get the detailed procedure to find GCD of 108, 702, 50, 578?

You can find a detailed procedure to find GCD of 108, 702, 50, 578 on our page.

3. How to find GCD of 108, 702, 50, 578 on a calculator?

You can find the GCD of 108, 702, 50, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.