GCD of 984, 146, 37, 906 Calculator

Given Input numbers are 984, 146, 37, 906

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

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 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 984, 146, 37, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 146, 37, 906 is 1.

Therefore, GCD of numbers 984, 146, 37, 906 is 1

Given Input Data is 984, 146, 37, 906

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

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 37 is 37

Prime Factorization of 906 is 2 x 3 x 151

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(984, 146) = 71832

GCD(984, 146) = ( 984 x 146 ) / 71832

GCD(984, 146) = 143664 / 71832

GCD(984, 146) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 906

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

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

GCD(1, 906) = 906 / 906

GCD(1, 906) = 1

GCD of 984, 146, 37, 906 is 1

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1. What is the GCD of 984, 146, 37, 906?

GCD of 984, 146, 37, 906 is 1

2. Where do I get the detailed procedure to find GCD of 984, 146, 37, 906?

You can find a detailed procedure to find GCD of 984, 146, 37, 906 on our page.

3. How to find GCD of 984, 146, 37, 906 on a calculator?

You can find the GCD of 984, 146, 37, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.