GCD of 918, 369, 786, 946 Calculator

Given Input numbers are 918, 369, 786, 946

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

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 918, 369, 786, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 369, 786, 946 is 1.

Therefore, GCD of numbers 918, 369, 786, 946 is 1

Given Input Data is 918, 369, 786, 946

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 369 is 3 x 3 x 41

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 946 is 2 x 11 x 43

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, 369) = 37638

GCD(918, 369) = ( 918 x 369 ) / 37638

GCD(918, 369) = 338742 / 37638

GCD(918, 369) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 786

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

LCM(9, 786) = 2358

GCD(9, 786) = ( 9 x 786 ) / 2358

GCD(9, 786) = 7074 / 2358

GCD(9, 786) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 946

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

LCM(3, 946) = 2838

GCD(3, 946) = ( 3 x 946 ) / 2838

GCD(3, 946) = 2838 / 2838

GCD(3, 946) = 1

GCD of 918, 369, 786, 946 is 1

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1. What is the GCD of 918, 369, 786, 946?

GCD of 918, 369, 786, 946 is 1

2. Where do I get the detailed procedure to find GCD of 918, 369, 786, 946?

You can find a detailed procedure to find GCD of 918, 369, 786, 946 on our page.

3. How to find GCD of 918, 369, 786, 946 on a calculator?

You can find the GCD of 918, 369, 786, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.