GCD of 744, 360, 341, 335 Calculator

Given Input numbers are 744, 360, 341, 335

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 335

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

1, 5, 67, 335

Greatest Common Divisior

We found the divisors of 744, 360, 341, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 360, 341, 335 is 1.

Therefore, GCD of numbers 744, 360, 341, 335 is 1

Given Input Data is 744, 360, 341, 335

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 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 341 is 11 x 31

Prime Factorization of 335 is 5 x 67

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, 360) = 11160

GCD(744, 360) = ( 744 x 360 ) / 11160

GCD(744, 360) = 267840 / 11160

GCD(744, 360) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 341

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

LCM(24, 341) = 8184

GCD(24, 341) = ( 24 x 341 ) / 8184

GCD(24, 341) = 8184 / 8184

GCD(24, 341) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 335

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

LCM(1, 335) = 335

GCD(1, 335) = ( 1 x 335 ) / 335

GCD(1, 335) = 335 / 335

GCD(1, 335) = 1

GCD of 744, 360, 341, 335 is 1

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• GCD of 663, 968, 213, 719
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• GCD of 504, 494, 779, 350

1. What is the GCD of 744, 360, 341, 335?

GCD of 744, 360, 341, 335 is 1

2. Where do I get the detailed procedure to find GCD of 744, 360, 341, 335?

You can find a detailed procedure to find GCD of 744, 360, 341, 335 on our page.

3. How to find GCD of 744, 360, 341, 335 on a calculator?

You can find the GCD of 744, 360, 341, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.