GCD of 462, 849, 917, 334 Calculator

Given Input numbers are 462, 849, 917, 334

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 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 462, 849, 917, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 849, 917, 334 is 1.

Therefore, GCD of numbers 462, 849, 917, 334 is 1

Given Input Data is 462, 849, 917, 334

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 849 is 3 x 283

Prime Factorization of 917 is 7 x 131

Prime Factorization of 334 is 2 x 167

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, 849) = 130746

GCD(462, 849) = ( 462 x 849 ) / 130746

GCD(462, 849) = 392238 / 130746

GCD(462, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 917

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

LCM(3, 917) = 2751

GCD(3, 917) = ( 3 x 917 ) / 2751

GCD(3, 917) = 2751 / 2751

GCD(3, 917) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

GCD of 462, 849, 917, 334 is 1

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1. What is the GCD of 462, 849, 917, 334?

GCD of 462, 849, 917, 334 is 1

2. Where do I get the detailed procedure to find GCD of 462, 849, 917, 334?

You can find a detailed procedure to find GCD of 462, 849, 917, 334 on our page.

3. How to find GCD of 462, 849, 917, 334 on a calculator?

You can find the GCD of 462, 849, 917, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.