GCD of 50, 36, 91, 74 Calculator

Given Input numbers are 50, 36, 91, 74

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 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 50, 36, 91, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 36, 91, 74 is 1.

Therefore, GCD of numbers 50, 36, 91, 74 is 1

Given Input Data is 50, 36, 91, 74

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 36 is 2 x 2 x 3 x 3

Prime Factorization of 91 is 7 x 13

Prime Factorization of 74 is 2 x 37

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, 36) = 900

GCD(50, 36) = ( 50 x 36 ) / 900

GCD(50, 36) = 1800 / 900

GCD(50, 36) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 91

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

LCM(2, 91) = 182

GCD(2, 91) = ( 2 x 91 ) / 182

GCD(2, 91) = 182 / 182

GCD(2, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

GCD of 50, 36, 91, 74 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 96, 62, 82
• GCD of 15, 41, 99, 71
• GCD of 75, 81, 95, 75
• GCD of 58, 68, 66, 13
• GCD of 27, 88, 85, 31

1. What is the GCD of 50, 36, 91, 74?

GCD of 50, 36, 91, 74 is 1

2. Where do I get the detailed procedure to find GCD of 50, 36, 91, 74?

You can find a detailed procedure to find GCD of 50, 36, 91, 74 on our page.

3. How to find GCD of 50, 36, 91, 74 on a calculator?

You can find the GCD of 50, 36, 91, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.