GCD of 694, 781, 400, 830 Calculator

Given Input numbers are 694, 781, 400, 830

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

Divisors of 694

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

1, 2, 347, 694

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 830

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

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

Greatest Common Divisior

We found the divisors of 694, 781, 400, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 781, 400, 830 is 1.

Therefore, GCD of numbers 694, 781, 400, 830 is 1

Given Input Data is 694, 781, 400, 830

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 781 is 11 x 71

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 830 is 2 x 5 x 83

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(694, 781) = 542014

GCD(694, 781) = ( 694 x 781 ) / 542014

GCD(694, 781) = 542014 / 542014

GCD(694, 781) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

GCD of 694, 781, 400, 830 is 1

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1. What is the GCD of 694, 781, 400, 830?

GCD of 694, 781, 400, 830 is 1

2. Where do I get the detailed procedure to find GCD of 694, 781, 400, 830?

You can find a detailed procedure to find GCD of 694, 781, 400, 830 on our page.

3. How to find GCD of 694, 781, 400, 830 on a calculator?

You can find the GCD of 694, 781, 400, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.