GCD of 812, 351, 461, 945 Calculator

Given Input numbers are 812, 351, 461, 945

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

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 812, 351, 461, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 351, 461, 945 is 1.

Therefore, GCD of numbers 812, 351, 461, 945 is 1

Given Input Data is 812, 351, 461, 945

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

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 461 is 461

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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(812, 351) = 285012

GCD(812, 351) = ( 812 x 351 ) / 285012

GCD(812, 351) = 285012 / 285012

GCD(812, 351) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 812, 351, 461, 945 is 1

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1. What is the GCD of 812, 351, 461, 945?

GCD of 812, 351, 461, 945 is 1

2. Where do I get the detailed procedure to find GCD of 812, 351, 461, 945?

You can find a detailed procedure to find GCD of 812, 351, 461, 945 on our page.

3. How to find GCD of 812, 351, 461, 945 on a calculator?

You can find the GCD of 812, 351, 461, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.