GCD of 744, 180, 335, 916 Calculator

Given Input numbers are 744, 180, 335, 916

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

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 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 744, 180, 335, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 180, 335, 916 is 1.

Therefore, GCD of numbers 744, 180, 335, 916 is 1

Given Input Data is 744, 180, 335, 916

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

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 335 is 5 x 67

Prime Factorization of 916 is 2 x 2 x 229

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(744, 180) = 11160

GCD(744, 180) = ( 744 x 180 ) / 11160

GCD(744, 180) = 133920 / 11160

GCD(744, 180) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 335

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

LCM(12, 335) = 4020

GCD(12, 335) = ( 12 x 335 ) / 4020

GCD(12, 335) = 4020 / 4020

GCD(12, 335) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 744, 180, 335, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 353, 541, 457
• GCD of 628, 302, 210, 213
• GCD of 336, 349, 143, 487
• GCD of 926, 229, 215, 802
• GCD of 133, 568, 985, 280

1. What is the GCD of 744, 180, 335, 916?

GCD of 744, 180, 335, 916 is 1

2. Where do I get the detailed procedure to find GCD of 744, 180, 335, 916?

You can find a detailed procedure to find GCD of 744, 180, 335, 916 on our page.

3. How to find GCD of 744, 180, 335, 916 on a calculator?

You can find the GCD of 744, 180, 335, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.