GCD of 50, 78, 59, 24 Calculator

Given Input numbers are 50, 78, 59, 24

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 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Greatest Common Divisior

We found the divisors of 50, 78, 59, 24 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 78, 59, 24 is 1.

Therefore, GCD of numbers 50, 78, 59, 24 is 1

Given Input Data is 50, 78, 59, 24

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 78 is 2 x 3 x 13

Prime Factorization of 59 is 59

Prime Factorization of 24 is 2 x 2 x 2 x 3

The above numbers do not have any common prime factor. So GCD is 1

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, 78) = 1950

GCD(50, 78) = ( 50 x 78 ) / 1950

GCD(50, 78) = 3900 / 1950

GCD(50, 78) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

GCD of 50, 78, 59, 24 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 56, 98, 43, 13
• GCD of 64, 12, 42, 28
• GCD of 60, 85, 26, 91
• GCD of 73, 73, 21, 97
• GCD of 18, 85, 97, 19

1. What is the GCD of 50, 78, 59, 24?

GCD of 50, 78, 59, 24 is 1

2. Where do I get the detailed procedure to find GCD of 50, 78, 59, 24?

You can find a detailed procedure to find GCD of 50, 78, 59, 24 on our page.

3. How to find GCD of 50, 78, 59, 24 on a calculator?

You can find the GCD of 50, 78, 59, 24 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.