GCD of 119, 966, 413, 791 Calculator

Given Input numbers are 119, 966, 413, 791

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 119, 966, 413, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 966, 413, 791 is 7.

Therefore, GCD of numbers 119, 966, 413, 791 is 7

Given Input Data is 119, 966, 413, 791

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 413 is 7 x 59

Prime Factorization of 791 is 7 x 113

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(119, 966) = 16422

GCD(119, 966) = ( 119 x 966 ) / 16422

GCD(119, 966) = 114954 / 16422

GCD(119, 966) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 413

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

LCM(7, 413) = 413

GCD(7, 413) = ( 7 x 413 ) / 413

GCD(7, 413) = 2891 / 413

GCD(7, 413) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 791

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

LCM(7, 791) = 791

GCD(7, 791) = ( 7 x 791 ) / 791

GCD(7, 791) = 5537 / 791

GCD(7, 791) = 7

GCD of 119, 966, 413, 791 is 7

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• GCD of 177, 610, 456, 508
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• GCD of 702, 548, 853, 233

1. What is the GCD of 119, 966, 413, 791?

GCD of 119, 966, 413, 791 is 7

2. Where do I get the detailed procedure to find GCD of 119, 966, 413, 791?

You can find a detailed procedure to find GCD of 119, 966, 413, 791 on our page.

3. How to find GCD of 119, 966, 413, 791 on a calculator?

You can find the GCD of 119, 966, 413, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.