GCD of 462, 345, 33, 769 Calculator

Given Input numbers are 462, 345, 33, 769

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 769

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

1, 769

Greatest Common Divisior

We found the divisors of 462, 345, 33, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 345, 33, 769 is 1.

Therefore, GCD of numbers 462, 345, 33, 769 is 1

Given Input Data is 462, 345, 33, 769

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 33 is 3 x 11

Prime Factorization of 769 is 769

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(462, 345) = 53130

GCD(462, 345) = ( 462 x 345 ) / 53130

GCD(462, 345) = 159390 / 53130

GCD(462, 345) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 33

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

LCM(3, 33) = 33

GCD(3, 33) = ( 3 x 33 ) / 33

GCD(3, 33) = 99 / 33

GCD(3, 33) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 769

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

LCM(3, 769) = 2307

GCD(3, 769) = ( 3 x 769 ) / 2307

GCD(3, 769) = 2307 / 2307

GCD(3, 769) = 1

GCD of 462, 345, 33, 769 is 1

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• GCD of 973, 377, 83, 235
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1. What is the GCD of 462, 345, 33, 769?

GCD of 462, 345, 33, 769 is 1

2. Where do I get the detailed procedure to find GCD of 462, 345, 33, 769?

You can find a detailed procedure to find GCD of 462, 345, 33, 769 on our page.

3. How to find GCD of 462, 345, 33, 769 on a calculator?

You can find the GCD of 462, 345, 33, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.