GCD of 148, 744, 669 Calculator

Given Input numbers are 148, 744, 669

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

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 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 148, 744, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 744, 669 is 1.

Therefore, GCD of numbers 148, 744, 669 is 1

Given Input Data is 148, 744, 669

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

Prime Factorization of 148 is 2 x 2 x 37

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

Prime Factorization of 669 is 3 x 223

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(148, 744) = 27528

GCD(148, 744) = ( 148 x 744 ) / 27528

GCD(148, 744) = 110112 / 27528

GCD(148, 744) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 669

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

LCM(4, 669) = 2676

GCD(4, 669) = ( 4 x 669 ) / 2676

GCD(4, 669) = 2676 / 2676

GCD(4, 669) = 1

GCD of 148, 744, 669 is 1

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1. What is the GCD of 148, 744, 669?

GCD of 148, 744, 669 is 1

2. Where do I get the detailed procedure to find GCD of 148, 744, 669?

You can find a detailed procedure to find GCD of 148, 744, 669 on our page.

3. How to find GCD of 148, 744, 669 on a calculator?

You can find the GCD of 148, 744, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.