GCD of 74, 80, 81, 34 Calculator

Given Input numbers are 74, 80, 81, 34

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

Divisors of 74

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

1, 2, 37, 74

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 34

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

1, 2, 17, 34

Greatest Common Divisior

We found the divisors of 74, 80, 81, 34 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 80, 81, 34 is 1.

Therefore, GCD of numbers 74, 80, 81, 34 is 1

Given Input Data is 74, 80, 81, 34

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 34 is 2 x 17

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(74, 80) = 2960

GCD(74, 80) = ( 74 x 80 ) / 2960

GCD(74, 80) = 5920 / 2960

GCD(74, 80) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 81

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

LCM(2, 81) = 162

GCD(2, 81) = ( 2 x 81 ) / 162

GCD(2, 81) = 162 / 162

GCD(2, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

GCD of 74, 80, 81, 34 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 58, 17, 26
• GCD of 62, 46, 24, 14
• GCD of 70, 18, 78, 32
• GCD of 18, 40, 25, 76
• GCD of 85, 33, 58, 91

1. What is the GCD of 74, 80, 81, 34?

GCD of 74, 80, 81, 34 is 1

2. Where do I get the detailed procedure to find GCD of 74, 80, 81, 34?

You can find a detailed procedure to find GCD of 74, 80, 81, 34 on our page.

3. How to find GCD of 74, 80, 81, 34 on a calculator?

You can find the GCD of 74, 80, 81, 34 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.