GCD of 34, 30, 80, 57 Calculator

Given Input numbers are 34, 30, 80, 57

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

Divisors of 34

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

1, 2, 17, 34

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Greatest Common Divisior

We found the divisors of 34, 30, 80, 57 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 30, 80, 57 is 1.

Therefore, GCD of numbers 34, 30, 80, 57 is 1

Given Input Data is 34, 30, 80, 57

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 30 is 2 x 3 x 5

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

Prime Factorization of 57 is 3 x 19

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(34, 30) = 510

GCD(34, 30) = ( 34 x 30 ) / 510

GCD(34, 30) = 1020 / 510

GCD(34, 30) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

GCD of 34, 30, 80, 57 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 35, 34, 87
• GCD of 79, 78, 87, 18
• GCD of 55, 16, 11, 16
• GCD of 42, 16, 58, 55
• GCD of 57, 84, 57, 74

1. What is the GCD of 34, 30, 80, 57?

GCD of 34, 30, 80, 57 is 1

2. Where do I get the detailed procedure to find GCD of 34, 30, 80, 57?

You can find a detailed procedure to find GCD of 34, 30, 80, 57 on our page.

3. How to find GCD of 34, 30, 80, 57 on a calculator?

You can find the GCD of 34, 30, 80, 57 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.