GCD of 697, 546, 27, 735 Calculator

Given Input numbers are 697, 546, 27, 735

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

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 697, 546, 27, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 546, 27, 735 is 1.

Therefore, GCD of numbers 697, 546, 27, 735 is 1

Given Input Data is 697, 546, 27, 735

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 735 is 3 x 5 x 7 x 7

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(697, 546) = 380562

GCD(697, 546) = ( 697 x 546 ) / 380562

GCD(697, 546) = 380562 / 380562

GCD(697, 546) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 697, 546, 27, 735 is 1

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1. What is the GCD of 697, 546, 27, 735?

GCD of 697, 546, 27, 735 is 1

2. Where do I get the detailed procedure to find GCD of 697, 546, 27, 735?

You can find a detailed procedure to find GCD of 697, 546, 27, 735 on our page.

3. How to find GCD of 697, 546, 27, 735 on a calculator?

You can find the GCD of 697, 546, 27, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.