GCD of 812, 516, 278, 955 Calculator

Given Input numbers are 812, 516, 278, 955

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 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Greatest Common Divisior

We found the divisors of 812, 516, 278, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 516, 278, 955 is 1.

Therefore, GCD of numbers 812, 516, 278, 955 is 1

Given Input Data is 812, 516, 278, 955

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 516 is 2 x 2 x 3 x 43

Prime Factorization of 278 is 2 x 139

Prime Factorization of 955 is 5 x 191

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, 516) = 104748

GCD(812, 516) = ( 812 x 516 ) / 104748

GCD(812, 516) = 418992 / 104748

GCD(812, 516) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 278

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

LCM(4, 278) = 556

GCD(4, 278) = ( 4 x 278 ) / 556

GCD(4, 278) = 1112 / 556

GCD(4, 278) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 955

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

LCM(2, 955) = 1910

GCD(2, 955) = ( 2 x 955 ) / 1910

GCD(2, 955) = 1910 / 1910

GCD(2, 955) = 1

GCD of 812, 516, 278, 955 is 1

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1. What is the GCD of 812, 516, 278, 955?

GCD of 812, 516, 278, 955 is 1

2. Where do I get the detailed procedure to find GCD of 812, 516, 278, 955?

You can find a detailed procedure to find GCD of 812, 516, 278, 955 on our page.

3. How to find GCD of 812, 516, 278, 955 on a calculator?

You can find the GCD of 812, 516, 278, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.