GCD of 694, 827, 366, 338 Calculator

Given Input numbers are 694, 827, 366, 338

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 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 694, 827, 366, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 827, 366, 338 is 1.

Therefore, GCD of numbers 694, 827, 366, 338 is 1

Given Input Data is 694, 827, 366, 338

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 827 is 827

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 338 is 2 x 13 x 13

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, 827) = 573938

GCD(694, 827) = ( 694 x 827 ) / 573938

GCD(694, 827) = 573938 / 573938

GCD(694, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 694, 827, 366, 338 is 1

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1. What is the GCD of 694, 827, 366, 338?

GCD of 694, 827, 366, 338 is 1

2. Where do I get the detailed procedure to find GCD of 694, 827, 366, 338?

You can find a detailed procedure to find GCD of 694, 827, 366, 338 on our page.

3. How to find GCD of 694, 827, 366, 338 on a calculator?

You can find the GCD of 694, 827, 366, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.