GCD of 617, 720, 46, 398 Calculator

Given Input numbers are 617, 720, 46, 398

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 617, 720, 46, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 720, 46, 398 is 1.

Therefore, GCD of numbers 617, 720, 46, 398 is 1

Given Input Data is 617, 720, 46, 398

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

Prime Factorization of 617 is 617

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 46 is 2 x 23

Prime Factorization of 398 is 2 x 199

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(617, 720) = 444240

GCD(617, 720) = ( 617 x 720 ) / 444240

GCD(617, 720) = 444240 / 444240

GCD(617, 720) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 617, 720, 46, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 249, 64, 309
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• GCD of 485, 310, 41, 698
• GCD of 262, 848, 68, 588

1. What is the GCD of 617, 720, 46, 398?

GCD of 617, 720, 46, 398 is 1

2. Where do I get the detailed procedure to find GCD of 617, 720, 46, 398?

You can find a detailed procedure to find GCD of 617, 720, 46, 398 on our page.

3. How to find GCD of 617, 720, 46, 398 on a calculator?

You can find the GCD of 617, 720, 46, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.