GCD of 764, 693, 15, 192 Calculator

Given Input numbers are 764, 693, 15, 192

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

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 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Greatest Common Divisior

We found the divisors of 764, 693, 15, 192 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 693, 15, 192 is 1.

Therefore, GCD of numbers 764, 693, 15, 192 is 1

Given Input Data is 764, 693, 15, 192

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

Prime Factorization of 764 is 2 x 2 x 191

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

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(764, 693) = 529452

GCD(764, 693) = ( 764 x 693 ) / 529452

GCD(764, 693) = 529452 / 529452

GCD(764, 693) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 192

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

LCM(1, 192) = 192

GCD(1, 192) = ( 1 x 192 ) / 192

GCD(1, 192) = 192 / 192

GCD(1, 192) = 1

GCD of 764, 693, 15, 192 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 809, 42, 222
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• GCD of 474, 459, 92, 929
• GCD of 392, 344, 40, 300

1. What is the GCD of 764, 693, 15, 192?

GCD of 764, 693, 15, 192 is 1

2. Where do I get the detailed procedure to find GCD of 764, 693, 15, 192?

You can find a detailed procedure to find GCD of 764, 693, 15, 192 on our page.

3. How to find GCD of 764, 693, 15, 192 on a calculator?

You can find the GCD of 764, 693, 15, 192 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.