GCD of 185, 738, 148, 983 Calculator

Given Input numbers are 185, 738, 148, 983

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

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Greatest Common Divisior

We found the divisors of 185, 738, 148, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 738, 148, 983 is 1.

Therefore, GCD of numbers 185, 738, 148, 983 is 1

Given Input Data is 185, 738, 148, 983

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

Prime Factorization of 185 is 5 x 37

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 983 is 983

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(185, 738) = 136530

GCD(185, 738) = ( 185 x 738 ) / 136530

GCD(185, 738) = 136530 / 136530

GCD(185, 738) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

GCD of 185, 738, 148, 983 is 1

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1. What is the GCD of 185, 738, 148, 983?

GCD of 185, 738, 148, 983 is 1

2. Where do I get the detailed procedure to find GCD of 185, 738, 148, 983?

You can find a detailed procedure to find GCD of 185, 738, 148, 983 on our page.

3. How to find GCD of 185, 738, 148, 983 on a calculator?

You can find the GCD of 185, 738, 148, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.