GCD of 50, 780, 390, 718 Calculator

Given Input numbers are 50, 780, 390, 718

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 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 50, 780, 390, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 780, 390, 718 is 2.

Therefore, GCD of numbers 50, 780, 390, 718 is 2

Given Input Data is 50, 780, 390, 718

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 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 718 is 2 x 359

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, 780) = 3900

GCD(50, 780) = ( 50 x 780 ) / 3900

GCD(50, 780) = 39000 / 3900

GCD(50, 780) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 390

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

LCM(10, 390) = 390

GCD(10, 390) = ( 10 x 390 ) / 390

GCD(10, 390) = 3900 / 390

GCD(10, 390) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 718

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

LCM(10, 718) = 3590

GCD(10, 718) = ( 10 x 718 ) / 3590

GCD(10, 718) = 7180 / 3590

GCD(10, 718) = 2

GCD of 50, 780, 390, 718 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 621, 407, 474
• GCD of 25, 288, 123, 745
• GCD of 73, 991, 727, 985
• GCD of 76, 699, 162, 255
• GCD of 95, 285, 171, 629

1. What is the GCD of 50, 780, 390, 718?

GCD of 50, 780, 390, 718 is 2

2. Where do I get the detailed procedure to find GCD of 50, 780, 390, 718?

You can find a detailed procedure to find GCD of 50, 780, 390, 718 on our page.

3. How to find GCD of 50, 780, 390, 718 on a calculator?

You can find the GCD of 50, 780, 390, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.