GCD of 363, 657, 849, 387 Calculator

Given Input numbers are 363, 657, 849, 387

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 363, 657, 849, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 657, 849, 387 is 3.

Therefore, GCD of numbers 363, 657, 849, 387 is 3

Given Input Data is 363, 657, 849, 387

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 849 is 3 x 283

Prime Factorization of 387 is 3 x 3 x 43

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(363, 657) = 79497

GCD(363, 657) = ( 363 x 657 ) / 79497

GCD(363, 657) = 238491 / 79497

GCD(363, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 849

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

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

GCD(3, 849) = 2547 / 849

GCD(3, 849) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 387

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

LCM(3, 387) = 387

GCD(3, 387) = ( 3 x 387 ) / 387

GCD(3, 387) = 1161 / 387

GCD(3, 387) = 3

GCD of 363, 657, 849, 387 is 3

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1. What is the GCD of 363, 657, 849, 387?

GCD of 363, 657, 849, 387 is 3

2. Where do I get the detailed procedure to find GCD of 363, 657, 849, 387?

You can find a detailed procedure to find GCD of 363, 657, 849, 387 on our page.

3. How to find GCD of 363, 657, 849, 387 on a calculator?

You can find the GCD of 363, 657, 849, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.