GCD of 398, 834, 767, 780 Calculator

Given Input numbers are 398, 834, 767, 780

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 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 398, 834, 767, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 834, 767, 780 is 1.

Therefore, GCD of numbers 398, 834, 767, 780 is 1

Given Input Data is 398, 834, 767, 780

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 767 is 13 x 59

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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, 834) = 165966

GCD(398, 834) = ( 398 x 834 ) / 165966

GCD(398, 834) = 331932 / 165966

GCD(398, 834) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 767

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

LCM(2, 767) = 1534

GCD(2, 767) = ( 2 x 767 ) / 1534

GCD(2, 767) = 1534 / 1534

GCD(2, 767) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 398, 834, 767, 780 is 1

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• GCD of 232, 400, 434, 906
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• GCD of 901, 365, 357, 991

1. What is the GCD of 398, 834, 767, 780?

GCD of 398, 834, 767, 780 is 1

2. Where do I get the detailed procedure to find GCD of 398, 834, 767, 780?

You can find a detailed procedure to find GCD of 398, 834, 767, 780 on our page.

3. How to find GCD of 398, 834, 767, 780 on a calculator?

You can find the GCD of 398, 834, 767, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.