GCD of 693, 387, 96, 713 Calculator

Given Input numbers are 693, 387, 96, 713

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

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 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 693, 387, 96, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 387, 96, 713 is 1.

Therefore, GCD of numbers 693, 387, 96, 713 is 1

Given Input Data is 693, 387, 96, 713

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

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 713 is 23 x 31

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(693, 387) = 29799

GCD(693, 387) = ( 693 x 387 ) / 29799

GCD(693, 387) = 268191 / 29799

GCD(693, 387) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 96

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

LCM(9, 96) = 288

GCD(9, 96) = ( 9 x 96 ) / 288

GCD(9, 96) = 864 / 288

GCD(9, 96) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 713

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

LCM(3, 713) = 2139

GCD(3, 713) = ( 3 x 713 ) / 2139

GCD(3, 713) = 2139 / 2139

GCD(3, 713) = 1

GCD of 693, 387, 96, 713 is 1

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1. What is the GCD of 693, 387, 96, 713?

GCD of 693, 387, 96, 713 is 1

2. Where do I get the detailed procedure to find GCD of 693, 387, 96, 713?

You can find a detailed procedure to find GCD of 693, 387, 96, 713 on our page.

3. How to find GCD of 693, 387, 96, 713 on a calculator?

You can find the GCD of 693, 387, 96, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.