GCD of 398, 903, 61, 420 Calculator

Given Input numbers are 398, 903, 61, 420

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

Divisors of 398

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

1, 2, 199, 398

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 398, 903, 61, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 903, 61, 420 is 1.

Therefore, GCD of numbers 398, 903, 61, 420 is 1

Given Input Data is 398, 903, 61, 420

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 61 is 61

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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(398, 903) = 359394

GCD(398, 903) = ( 398 x 903 ) / 359394

GCD(398, 903) = 359394 / 359394

GCD(398, 903) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 398, 903, 61, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 402, 75, 751
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• GCD of 990, 157, 85, 104
• GCD of 876, 982, 44, 629
• GCD of 547, 524, 60, 372

1. What is the GCD of 398, 903, 61, 420?

GCD of 398, 903, 61, 420 is 1

2. Where do I get the detailed procedure to find GCD of 398, 903, 61, 420?

You can find a detailed procedure to find GCD of 398, 903, 61, 420 on our page.

3. How to find GCD of 398, 903, 61, 420 on a calculator?

You can find the GCD of 398, 903, 61, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.