GCD of 927, 782, 693, 738 Calculator

Given Input numbers are 927, 782, 693, 738

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

Divisors of 927

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

1, 3, 9, 103, 309, 927

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 927, 782, 693, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 927, 782, 693, 738 is 1.

Therefore, GCD of numbers 927, 782, 693, 738 is 1

Given Input Data is 927, 782, 693, 738

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

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 782 is 2 x 17 x 23

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(927, 782) = 724914

GCD(927, 782) = ( 927 x 782 ) / 724914

GCD(927, 782) = 724914 / 724914

GCD(927, 782) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 927, 782, 693, 738 is 1

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1. What is the GCD of 927, 782, 693, 738?

GCD of 927, 782, 693, 738 is 1

2. Where do I get the detailed procedure to find GCD of 927, 782, 693, 738?

You can find a detailed procedure to find GCD of 927, 782, 693, 738 on our page.

3. How to find GCD of 927, 782, 693, 738 on a calculator?

You can find the GCD of 927, 782, 693, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.