GCD of 737, 180, 825, 930 Calculator

Given Input numbers are 737, 180, 825, 930

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

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Greatest Common Divisior

We found the divisors of 737, 180, 825, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 180, 825, 930 is 1.

Therefore, GCD of numbers 737, 180, 825, 930 is 1

Given Input Data is 737, 180, 825, 930

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

Prime Factorization of 737 is 11 x 67

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 930 is 2 x 3 x 5 x 31

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(737, 180) = 132660

GCD(737, 180) = ( 737 x 180 ) / 132660

GCD(737, 180) = 132660 / 132660

GCD(737, 180) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 930

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

LCM(1, 930) = 930

GCD(1, 930) = ( 1 x 930 ) / 930

GCD(1, 930) = 930 / 930

GCD(1, 930) = 1

GCD of 737, 180, 825, 930 is 1

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1. What is the GCD of 737, 180, 825, 930?

GCD of 737, 180, 825, 930 is 1

2. Where do I get the detailed procedure to find GCD of 737, 180, 825, 930?

You can find a detailed procedure to find GCD of 737, 180, 825, 930 on our page.

3. How to find GCD of 737, 180, 825, 930 on a calculator?

You can find the GCD of 737, 180, 825, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.