GCD of 742, 180, 826, 445 Calculator

Given Input numbers are 742, 180, 826, 445

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

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 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Greatest Common Divisior

We found the divisors of 742, 180, 826, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 180, 826, 445 is 1.

Therefore, GCD of numbers 742, 180, 826, 445 is 1

Given Input Data is 742, 180, 826, 445

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

Prime Factorization of 742 is 2 x 7 x 53

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

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 445 is 5 x 89

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(742, 180) = 66780

GCD(742, 180) = ( 742 x 180 ) / 66780

GCD(742, 180) = 133560 / 66780

GCD(742, 180) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 826

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

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

GCD(2, 826) = 1652 / 826

GCD(2, 826) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 445

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

LCM(2, 445) = 890

GCD(2, 445) = ( 2 x 445 ) / 890

GCD(2, 445) = 890 / 890

GCD(2, 445) = 1

GCD of 742, 180, 826, 445 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 378, 960, 150, 748
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• GCD of 135, 165, 922, 357

1. What is the GCD of 742, 180, 826, 445?

GCD of 742, 180, 826, 445 is 1

2. Where do I get the detailed procedure to find GCD of 742, 180, 826, 445?

You can find a detailed procedure to find GCD of 742, 180, 826, 445 on our page.

3. How to find GCD of 742, 180, 826, 445 on a calculator?

You can find the GCD of 742, 180, 826, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.