GCD of 992, 148, 500, 669 Calculator

Given Input numbers are 992, 148, 500, 669

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 992, 148, 500, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 148, 500, 669 is 1.

Therefore, GCD of numbers 992, 148, 500, 669 is 1

Given Input Data is 992, 148, 500, 669

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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(992, 148) = 36704

GCD(992, 148) = ( 992 x 148 ) / 36704

GCD(992, 148) = 146816 / 36704

GCD(992, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 500

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

LCM(4, 500) = 500

GCD(4, 500) = ( 4 x 500 ) / 500

GCD(4, 500) = 2000 / 500

GCD(4, 500) = 4

Step3:

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 992, 148, 500, 669 is 1

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1. What is the GCD of 992, 148, 500, 669?

GCD of 992, 148, 500, 669 is 1

2. Where do I get the detailed procedure to find GCD of 992, 148, 500, 669?

You can find a detailed procedure to find GCD of 992, 148, 500, 669 on our page.

3. How to find GCD of 992, 148, 500, 669 on a calculator?

You can find the GCD of 992, 148, 500, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.