GCD of 741, 608, 323 Calculator

Given Input numbers are 741, 608, 323

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

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

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 741, 608, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 608, 323 is 19.

Therefore, GCD of numbers 741, 608, 323 is 19

Given Input Data is 741, 608, 323

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 323 is 17 x 19

Highest common occurrences in the given inputs are 19¹

Multiplying them we get the GCD as 19

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(741, 608) = 23712

GCD(741, 608) = ( 741 x 608 ) / 23712

GCD(741, 608) = 450528 / 23712

GCD(741, 608) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 323

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

LCM(19, 323) = 323

GCD(19, 323) = ( 19 x 323 ) / 323

GCD(19, 323) = 6137 / 323

GCD(19, 323) = 19

GCD of 741, 608, 323 is 19

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 332, 230
• GCD of 330, 403, 897
• GCD of 505, 728, 948
• GCD of 126, 760, 772
• GCD of 435, 540, 666

1. What is the GCD of 741, 608, 323?

GCD of 741, 608, 323 is 19

2. Where do I get the detailed procedure to find GCD of 741, 608, 323?

You can find a detailed procedure to find GCD of 741, 608, 323 on our page.

3. How to find GCD of 741, 608, 323 on a calculator?

You can find the GCD of 741, 608, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.