GCD of 408, 918, 946 Calculator

Given Input numbers are 408, 918, 946

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 408, 918, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 918, 946 is 2.

Therefore, GCD of numbers 408, 918, 946 is 2

Given Input Data is 408, 918, 946

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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

Prime Factorization of 946 is 2 x 11 x 43

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(408, 918) = 3672

GCD(408, 918) = ( 408 x 918 ) / 3672

GCD(408, 918) = 374544 / 3672

GCD(408, 918) = 102

Step2:

Here we consider the GCD from the above i.e. 102 as first number and the next as 946

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

LCM(102, 946) = 48246

GCD(102, 946) = ( 102 x 946 ) / 48246

GCD(102, 946) = 96492 / 48246

GCD(102, 946) = 2

GCD of 408, 918, 946 is 2

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1. What is the GCD of 408, 918, 946?

GCD of 408, 918, 946 is 2

2. Where do I get the detailed procedure to find GCD of 408, 918, 946?

You can find a detailed procedure to find GCD of 408, 918, 946 on our page.

3. How to find GCD of 408, 918, 946 on a calculator?

You can find the GCD of 408, 918, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.