GCD of 867, 423, 275, 744 Calculator

Given Input numbers are 867, 423, 275, 744

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

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

Greatest Common Divisior

We found the divisors of 867, 423, 275, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 423, 275, 744 is 1.

Therefore, GCD of numbers 867, 423, 275, 744 is 1

Given Input Data is 867, 423, 275, 744

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 744 is 2 x 2 x 2 x 3 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(867, 423) = 122247

GCD(867, 423) = ( 867 x 423 ) / 122247

GCD(867, 423) = 366741 / 122247

GCD(867, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 275

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

LCM(3, 275) = 825

GCD(3, 275) = ( 3 x 275 ) / 825

GCD(3, 275) = 825 / 825

GCD(3, 275) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 867, 423, 275, 744 is 1

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1. What is the GCD of 867, 423, 275, 744?

GCD of 867, 423, 275, 744 is 1

2. Where do I get the detailed procedure to find GCD of 867, 423, 275, 744?

You can find a detailed procedure to find GCD of 867, 423, 275, 744 on our page.

3. How to find GCD of 867, 423, 275, 744 on a calculator?

You can find the GCD of 867, 423, 275, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.