GCD of 450, 744, 336, 726 Calculator

Given Input numbers are 450, 744, 336, 726

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

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 450, 744, 336, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 744, 336, 726 is 6.

Therefore, GCD of numbers 450, 744, 336, 726 is 6

Given Input Data is 450, 744, 336, 726

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

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 726 is 2 x 3 x 11 x 11

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(450, 744) = 55800

GCD(450, 744) = ( 450 x 744 ) / 55800

GCD(450, 744) = 334800 / 55800

GCD(450, 744) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 336

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

LCM(6, 336) = 336

GCD(6, 336) = ( 6 x 336 ) / 336

GCD(6, 336) = 2016 / 336

GCD(6, 336) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 726

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

LCM(6, 726) = 726

GCD(6, 726) = ( 6 x 726 ) / 726

GCD(6, 726) = 4356 / 726

GCD(6, 726) = 6

GCD of 450, 744, 336, 726 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 404, 407, 858
• GCD of 757, 808, 976, 622
• GCD of 521, 670, 354, 992
• GCD of 345, 116, 618, 203
• GCD of 924, 894, 158, 337

1. What is the GCD of 450, 744, 336, 726?

GCD of 450, 744, 336, 726 is 6

2. Where do I get the detailed procedure to find GCD of 450, 744, 336, 726?

You can find a detailed procedure to find GCD of 450, 744, 336, 726 on our page.

3. How to find GCD of 450, 744, 336, 726 on a calculator?

You can find the GCD of 450, 744, 336, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.