GCD of 58, 918, 300, 946 Calculator

Given Input numbers are 58, 918, 300, 946

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

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 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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 58, 918, 300, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 918, 300, 946 is 2.

Therefore, GCD of numbers 58, 918, 300, 946 is 2

Given Input Data is 58, 918, 300, 946

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

Prime Factorization of 58 is 2 x 29

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

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(58, 918) = 26622

GCD(58, 918) = ( 58 x 918 ) / 26622

GCD(58, 918) = 53244 / 26622

GCD(58, 918) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 300

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

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

GCD(2, 300) = 600 / 300

GCD(2, 300) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 946

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

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

GCD(2, 946) = 1892 / 946

GCD(2, 946) = 2

GCD of 58, 918, 300, 946 is 2

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1. What is the GCD of 58, 918, 300, 946?

GCD of 58, 918, 300, 946 is 2

2. Where do I get the detailed procedure to find GCD of 58, 918, 300, 946?

You can find a detailed procedure to find GCD of 58, 918, 300, 946 on our page.

3. How to find GCD of 58, 918, 300, 946 on a calculator?

You can find the GCD of 58, 918, 300, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.