GCD of 633, 315, 34, 694 Calculator

Given Input numbers are 633, 315, 34, 694

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

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 633, 315, 34, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 633, 315, 34, 694 is 1.

Therefore, GCD of numbers 633, 315, 34, 694 is 1

Given Input Data is 633, 315, 34, 694

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

Prime Factorization of 633 is 3 x 211

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 34 is 2 x 17

Prime Factorization of 694 is 2 x 347

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(633, 315) = 66465

GCD(633, 315) = ( 633 x 315 ) / 66465

GCD(633, 315) = 199395 / 66465

GCD(633, 315) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 34

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

LCM(3, 34) = 102

GCD(3, 34) = ( 3 x 34 ) / 102

GCD(3, 34) = 102 / 102

GCD(3, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 633, 315, 34, 694 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 427, 15, 209
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• GCD of 617, 972, 32, 709

1. What is the GCD of 633, 315, 34, 694?

GCD of 633, 315, 34, 694 is 1

2. Where do I get the detailed procedure to find GCD of 633, 315, 34, 694?

You can find a detailed procedure to find GCD of 633, 315, 34, 694 on our page.

3. How to find GCD of 633, 315, 34, 694 on a calculator?

You can find the GCD of 633, 315, 34, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.