GCD of 445, 309, 842, 752 Calculator

Given Input numbers are 445, 309, 842, 752

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

Divisors of 445

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

1, 5, 89, 445

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 445, 309, 842, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 445, 309, 842, 752 is 1.

Therefore, GCD of numbers 445, 309, 842, 752 is 1

Given Input Data is 445, 309, 842, 752

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

Prime Factorization of 445 is 5 x 89

Prime Factorization of 309 is 3 x 103

Prime Factorization of 842 is 2 x 421

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(445, 309) = 137505

GCD(445, 309) = ( 445 x 309 ) / 137505

GCD(445, 309) = 137505 / 137505

GCD(445, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 445, 309, 842, 752 is 1

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1. What is the GCD of 445, 309, 842, 752?

GCD of 445, 309, 842, 752 is 1

2. Where do I get the detailed procedure to find GCD of 445, 309, 842, 752?

You can find a detailed procedure to find GCD of 445, 309, 842, 752 on our page.

3. How to find GCD of 445, 309, 842, 752 on a calculator?

You can find the GCD of 445, 309, 842, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.