GCD of 744, 654, 827, 392 Calculator

Given Input numbers are 744, 654, 827, 392

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 744, 654, 827, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 654, 827, 392 is 1.

Therefore, GCD of numbers 744, 654, 827, 392 is 1

Given Input Data is 744, 654, 827, 392

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 827 is 827

Prime Factorization of 392 is 2 x 2 x 2 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(744, 654) = 81096

GCD(744, 654) = ( 744 x 654 ) / 81096

GCD(744, 654) = 486576 / 81096

GCD(744, 654) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 827

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

LCM(6, 827) = 4962

GCD(6, 827) = ( 6 x 827 ) / 4962

GCD(6, 827) = 4962 / 4962

GCD(6, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

GCD of 744, 654, 827, 392 is 1

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1. What is the GCD of 744, 654, 827, 392?

GCD of 744, 654, 827, 392 is 1

2. Where do I get the detailed procedure to find GCD of 744, 654, 827, 392?

You can find a detailed procedure to find GCD of 744, 654, 827, 392 on our page.

3. How to find GCD of 744, 654, 827, 392 on a calculator?

You can find the GCD of 744, 654, 827, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.