GCD of 658, 768, 18, 916 Calculator

Given Input numbers are 658, 768, 18, 916

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 658, 768, 18, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 768, 18, 916 is 2.

Therefore, GCD of numbers 658, 768, 18, 916 is 2

Given Input Data is 658, 768, 18, 916

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 916 is 2 x 2 x 229

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(658, 768) = 252672

GCD(658, 768) = ( 658 x 768 ) / 252672

GCD(658, 768) = 505344 / 252672

GCD(658, 768) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 916

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

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

GCD(2, 916) = 1832 / 916

GCD(2, 916) = 2

GCD of 658, 768, 18, 916 is 2

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1. What is the GCD of 658, 768, 18, 916?

GCD of 658, 768, 18, 916 is 2

2. Where do I get the detailed procedure to find GCD of 658, 768, 18, 916?

You can find a detailed procedure to find GCD of 658, 768, 18, 916 on our page.

3. How to find GCD of 658, 768, 18, 916 on a calculator?

You can find the GCD of 658, 768, 18, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.