GCD of 737, 891, 312, 323 Calculator

Given Input numbers are 737, 891, 312, 323

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 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 737, 891, 312, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 891, 312, 323 is 1.

Therefore, GCD of numbers 737, 891, 312, 323 is 1

Given Input Data is 737, 891, 312, 323

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

Prime Factorization of 737 is 11 x 67

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 323 is 17 x 19

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, 891) = 59697

GCD(737, 891) = ( 737 x 891 ) / 59697

GCD(737, 891) = 656667 / 59697

GCD(737, 891) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 312

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

LCM(11, 312) = 3432

GCD(11, 312) = ( 11 x 312 ) / 3432

GCD(11, 312) = 3432 / 3432

GCD(11, 312) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 323

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

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

GCD(1, 323) = 323 / 323

GCD(1, 323) = 1

GCD of 737, 891, 312, 323 is 1

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1. What is the GCD of 737, 891, 312, 323?

GCD of 737, 891, 312, 323 is 1

2. Where do I get the detailed procedure to find GCD of 737, 891, 312, 323?

You can find a detailed procedure to find GCD of 737, 891, 312, 323 on our page.

3. How to find GCD of 737, 891, 312, 323 on a calculator?

You can find the GCD of 737, 891, 312, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.