GCD of 351, 712, 917, 918 Calculator

Given Input numbers are 351, 712, 917, 918

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

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 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 917

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

1, 7, 131, 917

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 351, 712, 917, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 712, 917, 918 is 1.

Therefore, GCD of numbers 351, 712, 917, 918 is 1

Given Input Data is 351, 712, 917, 918

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

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 917 is 7 x 131

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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(351, 712) = 249912

GCD(351, 712) = ( 351 x 712 ) / 249912

GCD(351, 712) = 249912 / 249912

GCD(351, 712) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 351, 712, 917, 918 is 1

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1. What is the GCD of 351, 712, 917, 918?

GCD of 351, 712, 917, 918 is 1

2. Where do I get the detailed procedure to find GCD of 351, 712, 917, 918?

You can find a detailed procedure to find GCD of 351, 712, 917, 918 on our page.

3. How to find GCD of 351, 712, 917, 918 on a calculator?

You can find the GCD of 351, 712, 917, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.