GCD of 148, 629, 16, 984 Calculator

Given Input numbers are 148, 629, 16, 984

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 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 148, 629, 16, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 629, 16, 984 is 1.

Therefore, GCD of numbers 148, 629, 16, 984 is 1

Given Input Data is 148, 629, 16, 984

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 629 is 17 x 37

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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, 629) = 2516

GCD(148, 629) = ( 148 x 629 ) / 2516

GCD(148, 629) = 93092 / 2516

GCD(148, 629) = 37

Step2:

Here we consider the GCD from the above i.e. 37 as first number and the next as 16

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

LCM(37, 16) = 592

GCD(37, 16) = ( 37 x 16 ) / 592

GCD(37, 16) = 592 / 592

GCD(37, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 148, 629, 16, 984 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 128, 519, 28, 233
• GCD of 933, 167, 12, 607
• GCD of 244, 765, 64, 810
• GCD of 645, 957, 77, 788
• GCD of 795, 349, 52, 885

1. What is the GCD of 148, 629, 16, 984?

GCD of 148, 629, 16, 984 is 1

2. Where do I get the detailed procedure to find GCD of 148, 629, 16, 984?

You can find a detailed procedure to find GCD of 148, 629, 16, 984 on our page.

3. How to find GCD of 148, 629, 16, 984 on a calculator?

You can find the GCD of 148, 629, 16, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.