GCD of 243, 705, 217, 694 Calculator

Given Input numbers are 243, 705, 217, 694

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

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

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 243, 705, 217, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 705, 217, 694 is 1.

Therefore, GCD of numbers 243, 705, 217, 694 is 1

Given Input Data is 243, 705, 217, 694

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 217 is 7 x 31

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(243, 705) = 57105

GCD(243, 705) = ( 243 x 705 ) / 57105

GCD(243, 705) = 171315 / 57105

GCD(243, 705) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 217

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

LCM(3, 217) = 651

GCD(3, 217) = ( 3 x 217 ) / 651

GCD(3, 217) = 651 / 651

GCD(3, 217) = 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 243, 705, 217, 694 is 1

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1. What is the GCD of 243, 705, 217, 694?

GCD of 243, 705, 217, 694 is 1

2. Where do I get the detailed procedure to find GCD of 243, 705, 217, 694?

You can find a detailed procedure to find GCD of 243, 705, 217, 694 on our page.

3. How to find GCD of 243, 705, 217, 694 on a calculator?

You can find the GCD of 243, 705, 217, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.