GCD of 685, 251, 36, 704 Calculator

Given Input numbers are 685, 251, 36, 704

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

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 685, 251, 36, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 251, 36, 704 is 1.

Therefore, GCD of numbers 685, 251, 36, 704 is 1

Given Input Data is 685, 251, 36, 704

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

Prime Factorization of 685 is 5 x 137

Prime Factorization of 251 is 251

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(685, 251) = 171935

GCD(685, 251) = ( 685 x 251 ) / 171935

GCD(685, 251) = 171935 / 171935

GCD(685, 251) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 685, 251, 36, 704 is 1

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1. What is the GCD of 685, 251, 36, 704?

GCD of 685, 251, 36, 704 is 1

2. Where do I get the detailed procedure to find GCD of 685, 251, 36, 704?

You can find a detailed procedure to find GCD of 685, 251, 36, 704 on our page.

3. How to find GCD of 685, 251, 36, 704 on a calculator?

You can find the GCD of 685, 251, 36, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.