GCD of 830, 354, 694 Calculator

Given Input numbers are 830, 354, 694

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

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 830, 354, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 354, 694 is 2.

Therefore, GCD of numbers 830, 354, 694 is 2

Given Input Data is 830, 354, 694

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 694 is 2 x 347

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(830, 354) = 146910

GCD(830, 354) = ( 830 x 354 ) / 146910

GCD(830, 354) = 293820 / 146910

GCD(830, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 694

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

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

GCD(2, 694) = 1388 / 694

GCD(2, 694) = 2

GCD of 830, 354, 694 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 287, 513
• GCD of 741, 689, 937
• GCD of 210, 134, 392
• GCD of 193, 844, 913
• GCD of 180, 294, 976

1. What is the GCD of 830, 354, 694?

GCD of 830, 354, 694 is 2

2. Where do I get the detailed procedure to find GCD of 830, 354, 694?

You can find a detailed procedure to find GCD of 830, 354, 694 on our page.

3. How to find GCD of 830, 354, 694 on a calculator?

You can find the GCD of 830, 354, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.