GCD of 61, 38, 50, 66 Calculator

Given Input numbers are 61, 38, 50, 66

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Greatest Common Divisior

We found the divisors of 61, 38, 50, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 38, 50, 66 is 1.

Therefore, GCD of numbers 61, 38, 50, 66 is 1

Given Input Data is 61, 38, 50, 66

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

Prime Factorization of 61 is 61

Prime Factorization of 38 is 2 x 19

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 66 is 2 x 3 x 11

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(61, 38) = 2318

GCD(61, 38) = ( 61 x 38 ) / 2318

GCD(61, 38) = 2318 / 2318

GCD(61, 38) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

GCD of 61, 38, 50, 66 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 22, 42, 60
• GCD of 51, 29, 86, 86
• GCD of 43, 28, 36, 41
• GCD of 72, 49, 49, 13
• GCD of 67, 72, 76, 17

1. What is the GCD of 61, 38, 50, 66?

GCD of 61, 38, 50, 66 is 1

2. Where do I get the detailed procedure to find GCD of 61, 38, 50, 66?

You can find a detailed procedure to find GCD of 61, 38, 50, 66 on our page.

3. How to find GCD of 61, 38, 50, 66 on a calculator?

You can find the GCD of 61, 38, 50, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.