GCD of 603, 240, 387, 933 Calculator

Given Input numbers are 603, 240, 387, 933

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

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 387

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

1, 3, 9, 43, 129, 387

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Greatest Common Divisior

We found the divisors of 603, 240, 387, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 603, 240, 387, 933 is 3.

Therefore, GCD of numbers 603, 240, 387, 933 is 3

Given Input Data is 603, 240, 387, 933

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

Prime Factorization of 603 is 3 x 3 x 67

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 933 is 3 x 311

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(603, 240) = 48240

GCD(603, 240) = ( 603 x 240 ) / 48240

GCD(603, 240) = 144720 / 48240

GCD(603, 240) = 3

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 933

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

LCM(3, 933) = 933

GCD(3, 933) = ( 3 x 933 ) / 933

GCD(3, 933) = 2799 / 933

GCD(3, 933) = 3

GCD of 603, 240, 387, 933 is 3

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1. What is the GCD of 603, 240, 387, 933?

GCD of 603, 240, 387, 933 is 3

2. Where do I get the detailed procedure to find GCD of 603, 240, 387, 933?

You can find a detailed procedure to find GCD of 603, 240, 387, 933 on our page.

3. How to find GCD of 603, 240, 387, 933 on a calculator?

You can find the GCD of 603, 240, 387, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.