GCD of 966, 794, 829, 368 Calculator

Given Input numbers are 966, 794, 829, 368

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

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 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 966, 794, 829, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 794, 829, 368 is 1.

Therefore, GCD of numbers 966, 794, 829, 368 is 1

Given Input Data is 966, 794, 829, 368

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

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 829 is 829

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(966, 794) = 383502

GCD(966, 794) = ( 966 x 794 ) / 383502

GCD(966, 794) = 767004 / 383502

GCD(966, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 829

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

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

GCD(2, 829) = 1658 / 1658

GCD(2, 829) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

GCD of 966, 794, 829, 368 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 888, 326, 371
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• GCD of 520, 142, 456, 705
• GCD of 444, 734, 746, 827
• GCD of 877, 417, 918, 717

1. What is the GCD of 966, 794, 829, 368?

GCD of 966, 794, 829, 368 is 1

2. Where do I get the detailed procedure to find GCD of 966, 794, 829, 368?

You can find a detailed procedure to find GCD of 966, 794, 829, 368 on our page.

3. How to find GCD of 966, 794, 829, 368 on a calculator?

You can find the GCD of 966, 794, 829, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.