GCD of 769, 820, 41, 966 Calculator

Given Input numbers are 769, 820, 41, 966

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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

Greatest Common Divisior

We found the divisors of 769, 820, 41, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 820, 41, 966 is 1.

Therefore, GCD of numbers 769, 820, 41, 966 is 1

Given Input Data is 769, 820, 41, 966

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

Prime Factorization of 769 is 769

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 41 is 41

Prime Factorization of 966 is 2 x 3 x 7 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(769, 820) = 630580

GCD(769, 820) = ( 769 x 820 ) / 630580

GCD(769, 820) = 630580 / 630580

GCD(769, 820) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 769, 820, 41, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 408, 131, 83, 565
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• GCD of 844, 195, 50, 684
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• GCD of 478, 288, 45, 688

1. What is the GCD of 769, 820, 41, 966?

GCD of 769, 820, 41, 966 is 1

2. Where do I get the detailed procedure to find GCD of 769, 820, 41, 966?

You can find a detailed procedure to find GCD of 769, 820, 41, 966 on our page.

3. How to find GCD of 769, 820, 41, 966 on a calculator?

You can find the GCD of 769, 820, 41, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.