GCD of 34, 830, 207, 721 Calculator

Given Input numbers are 34, 830, 207, 721

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 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 34, 830, 207, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 830, 207, 721 is 1.

Therefore, GCD of numbers 34, 830, 207, 721 is 1

Given Input Data is 34, 830, 207, 721

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 721 is 7 x 103

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, 830) = 14110

GCD(34, 830) = ( 34 x 830 ) / 14110

GCD(34, 830) = 28220 / 14110

GCD(34, 830) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 207

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

LCM(2, 207) = 414

GCD(2, 207) = ( 2 x 207 ) / 414

GCD(2, 207) = 414 / 414

GCD(2, 207) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 34, 830, 207, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 948, 772, 139
• GCD of 51, 644, 393, 410
• GCD of 33, 183, 408, 144
• GCD of 57, 404, 526, 934
• GCD of 45, 343, 639, 686

1. What is the GCD of 34, 830, 207, 721?

GCD of 34, 830, 207, 721 is 1

2. Where do I get the detailed procedure to find GCD of 34, 830, 207, 721?

You can find a detailed procedure to find GCD of 34, 830, 207, 721 on our page.

3. How to find GCD of 34, 830, 207, 721 on a calculator?

You can find the GCD of 34, 830, 207, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.