GCD of 612, 369, 984, 149 Calculator

Given Input numbers are 612, 369, 984, 149

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 612, 369, 984, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 369, 984, 149 is 1.

Therefore, GCD of numbers 612, 369, 984, 149 is 1

Given Input Data is 612, 369, 984, 149

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 369 is 3 x 3 x 41

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

Prime Factorization of 149 is 149

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(612, 369) = 25092

GCD(612, 369) = ( 612 x 369 ) / 25092

GCD(612, 369) = 225828 / 25092

GCD(612, 369) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 984

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

LCM(9, 984) = 2952

GCD(9, 984) = ( 9 x 984 ) / 2952

GCD(9, 984) = 8856 / 2952

GCD(9, 984) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 149

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

LCM(3, 149) = 447

GCD(3, 149) = ( 3 x 149 ) / 447

GCD(3, 149) = 447 / 447

GCD(3, 149) = 1

GCD of 612, 369, 984, 149 is 1

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1. What is the GCD of 612, 369, 984, 149?

GCD of 612, 369, 984, 149 is 1

2. Where do I get the detailed procedure to find GCD of 612, 369, 984, 149?

You can find a detailed procedure to find GCD of 612, 369, 984, 149 on our page.

3. How to find GCD of 612, 369, 984, 149 on a calculator?

You can find the GCD of 612, 369, 984, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.