GCD of 918, 215, 992, 351 Calculator

Given Input numbers are 918, 215, 992, 351

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

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

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 351

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

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

Greatest Common Divisior

We found the divisors of 918, 215, 992, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 215, 992, 351 is 1.

Therefore, GCD of numbers 918, 215, 992, 351 is 1

Given Input Data is 918, 215, 992, 351

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

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

Prime Factorization of 215 is 5 x 43

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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

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(918, 215) = 197370

GCD(918, 215) = ( 918 x 215 ) / 197370

GCD(918, 215) = 197370 / 197370

GCD(918, 215) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 918, 215, 992, 351 is 1

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1. What is the GCD of 918, 215, 992, 351?

GCD of 918, 215, 992, 351 is 1

2. Where do I get the detailed procedure to find GCD of 918, 215, 992, 351?

You can find a detailed procedure to find GCD of 918, 215, 992, 351 on our page.

3. How to find GCD of 918, 215, 992, 351 on a calculator?

You can find the GCD of 918, 215, 992, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.