GCD of 42, 693, 904, 927 Calculator

Given Input numbers are 42, 693, 904, 927

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Greatest Common Divisior

We found the divisors of 42, 693, 904, 927 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 693, 904, 927 is 1.

Therefore, GCD of numbers 42, 693, 904, 927 is 1

Given Input Data is 42, 693, 904, 927

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 927 is 3 x 3 x 103

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(42, 693) = 1386

GCD(42, 693) = ( 42 x 693 ) / 1386

GCD(42, 693) = 29106 / 1386

GCD(42, 693) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 904

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

LCM(21, 904) = 18984

GCD(21, 904) = ( 21 x 904 ) / 18984

GCD(21, 904) = 18984 / 18984

GCD(21, 904) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 927

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

LCM(1, 927) = 927

GCD(1, 927) = ( 1 x 927 ) / 927

GCD(1, 927) = 927 / 927

GCD(1, 927) = 1

GCD of 42, 693, 904, 927 is 1

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1. What is the GCD of 42, 693, 904, 927?

GCD of 42, 693, 904, 927 is 1

2. Where do I get the detailed procedure to find GCD of 42, 693, 904, 927?

You can find a detailed procedure to find GCD of 42, 693, 904, 927 on our page.

3. How to find GCD of 42, 693, 904, 927 on a calculator?

You can find the GCD of 42, 693, 904, 927 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.