GCD of 336, 408, 45, 755 Calculator

Given Input numbers are 336, 408, 45, 755

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

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 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 336, 408, 45, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 408, 45, 755 is 1.

Therefore, GCD of numbers 336, 408, 45, 755 is 1

Given Input Data is 336, 408, 45, 755

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

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 755 is 5 x 151

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(336, 408) = 5712

GCD(336, 408) = ( 336 x 408 ) / 5712

GCD(336, 408) = 137088 / 5712

GCD(336, 408) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 45

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

LCM(24, 45) = 360

GCD(24, 45) = ( 24 x 45 ) / 360

GCD(24, 45) = 1080 / 360

GCD(24, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 755

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

LCM(3, 755) = 2265

GCD(3, 755) = ( 3 x 755 ) / 2265

GCD(3, 755) = 2265 / 2265

GCD(3, 755) = 1

GCD of 336, 408, 45, 755 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 242, 39, 911
• GCD of 322, 994, 28, 466
• GCD of 638, 949, 90, 329
• GCD of 846, 189, 64, 522
• GCD of 338, 919, 30, 857

1. What is the GCD of 336, 408, 45, 755?

GCD of 336, 408, 45, 755 is 1

2. Where do I get the detailed procedure to find GCD of 336, 408, 45, 755?

You can find a detailed procedure to find GCD of 336, 408, 45, 755 on our page.

3. How to find GCD of 336, 408, 45, 755 on a calculator?

You can find the GCD of 336, 408, 45, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.