GCD of 807, 924, 327, 450 Calculator

Given Input numbers are 807, 924, 327, 450

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

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Greatest Common Divisior

We found the divisors of 807, 924, 327, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 924, 327, 450 is 3.

Therefore, GCD of numbers 807, 924, 327, 450 is 3

Given Input Data is 807, 924, 327, 450

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

Prime Factorization of 807 is 3 x 269

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 327 is 3 x 109

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

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(807, 924) = 248556

GCD(807, 924) = ( 807 x 924 ) / 248556

GCD(807, 924) = 745668 / 248556

GCD(807, 924) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 327

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

LCM(3, 327) = 327

GCD(3, 327) = ( 3 x 327 ) / 327

GCD(3, 327) = 981 / 327

GCD(3, 327) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 450

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

LCM(3, 450) = 450

GCD(3, 450) = ( 3 x 450 ) / 450

GCD(3, 450) = 1350 / 450

GCD(3, 450) = 3

GCD of 807, 924, 327, 450 is 3

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1. What is the GCD of 807, 924, 327, 450?

GCD of 807, 924, 327, 450 is 3

2. Where do I get the detailed procedure to find GCD of 807, 924, 327, 450?

You can find a detailed procedure to find GCD of 807, 924, 327, 450 on our page.

3. How to find GCD of 807, 924, 327, 450 on a calculator?

You can find the GCD of 807, 924, 327, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.