GCD of 450, 465, 89, 828 Calculator

Given Input numbers are 450, 465, 89, 828

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

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 450, 465, 89, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 465, 89, 828 is 1.

Therefore, GCD of numbers 450, 465, 89, 828 is 1

Given Input Data is 450, 465, 89, 828

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

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 89 is 89

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(450, 465) = 13950

GCD(450, 465) = ( 450 x 465 ) / 13950

GCD(450, 465) = 209250 / 13950

GCD(450, 465) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 89

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

LCM(15, 89) = 1335

GCD(15, 89) = ( 15 x 89 ) / 1335

GCD(15, 89) = 1335 / 1335

GCD(15, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 450, 465, 89, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 363, 17, 554
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• GCD of 862, 924, 99, 450
• GCD of 672, 266, 87, 996

1. What is the GCD of 450, 465, 89, 828?

GCD of 450, 465, 89, 828 is 1

2. Where do I get the detailed procedure to find GCD of 450, 465, 89, 828?

You can find a detailed procedure to find GCD of 450, 465, 89, 828 on our page.

3. How to find GCD of 450, 465, 89, 828 on a calculator?

You can find the GCD of 450, 465, 89, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.