GCD of 34, 764, 305, 111 Calculator

Given Input numbers are 34, 764, 305, 111

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 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 34, 764, 305, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 764, 305, 111 is 1.

Therefore, GCD of numbers 34, 764, 305, 111 is 1

Given Input Data is 34, 764, 305, 111

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 305 is 5 x 61

Prime Factorization of 111 is 3 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(34, 764) = 12988

GCD(34, 764) = ( 34 x 764 ) / 12988

GCD(34, 764) = 25976 / 12988

GCD(34, 764) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 305

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

LCM(2, 305) = 610

GCD(2, 305) = ( 2 x 305 ) / 610

GCD(2, 305) = 610 / 610

GCD(2, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

GCD of 34, 764, 305, 111 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 646, 434, 151
• GCD of 37, 619, 388, 224
• GCD of 29, 807, 988, 538
• GCD of 91, 822, 209, 358
• GCD of 72, 296, 312, 780

1. What is the GCD of 34, 764, 305, 111?

GCD of 34, 764, 305, 111 is 1

2. Where do I get the detailed procedure to find GCD of 34, 764, 305, 111?

You can find a detailed procedure to find GCD of 34, 764, 305, 111 on our page.

3. How to find GCD of 34, 764, 305, 111 on a calculator?

You can find the GCD of 34, 764, 305, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.