GCD of 351, 864, 150, 450 Calculator

Given Input numbers are 351, 864, 150, 450

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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 351, 864, 150, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 864, 150, 450 is 3.

Therefore, GCD of numbers 351, 864, 150, 450 is 3

Given Input Data is 351, 864, 150, 450

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 150 is 2 x 3 x 5 x 5

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(351, 864) = 11232

GCD(351, 864) = ( 351 x 864 ) / 11232

GCD(351, 864) = 303264 / 11232

GCD(351, 864) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 150

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

LCM(27, 150) = 1350

GCD(27, 150) = ( 27 x 150 ) / 1350

GCD(27, 150) = 4050 / 1350

GCD(27, 150) = 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 351, 864, 150, 450 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 776, 138, 882
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• GCD of 818, 386, 946, 427

1. What is the GCD of 351, 864, 150, 450?

GCD of 351, 864, 150, 450 is 3

2. Where do I get the detailed procedure to find GCD of 351, 864, 150, 450?

You can find a detailed procedure to find GCD of 351, 864, 150, 450 on our page.

3. How to find GCD of 351, 864, 150, 450 on a calculator?

You can find the GCD of 351, 864, 150, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.