GCD of 50, 34, 10, 53 Calculator

Given Input numbers are 50, 34, 10, 53

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 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Greatest Common Divisior

We found the divisors of 50, 34, 10, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 34, 10, 53 is 1.

Therefore, GCD of numbers 50, 34, 10, 53 is 1

Given Input Data is 50, 34, 10, 53

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 34 is 2 x 17

Prime Factorization of 10 is 2 x 5

Prime Factorization of 53 is 53

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, 34) = 850

GCD(50, 34) = ( 50 x 34 ) / 850

GCD(50, 34) = 1700 / 850

GCD(50, 34) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

GCD of 50, 34, 10, 53 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 51, 41, 12
• GCD of 16, 73, 40, 50
• GCD of 19, 84, 78, 61
• GCD of 13, 23, 53, 41
• GCD of 90, 87, 29, 36

1. What is the GCD of 50, 34, 10, 53?

GCD of 50, 34, 10, 53 is 1

2. Where do I get the detailed procedure to find GCD of 50, 34, 10, 53?

You can find a detailed procedure to find GCD of 50, 34, 10, 53 on our page.

3. How to find GCD of 50, 34, 10, 53 on a calculator?

You can find the GCD of 50, 34, 10, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.