GCD of 450, 783, 87, 507 Calculator

Given Input numbers are 450, 783, 87, 507

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 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 450, 783, 87, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 783, 87, 507 is 3.

Therefore, GCD of numbers 450, 783, 87, 507 is 3

Given Input Data is 450, 783, 87, 507

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 783 is 3 x 3 x 3 x 29

Prime Factorization of 87 is 3 x 29

Prime Factorization of 507 is 3 x 13 x 13

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(450, 783) = 39150

GCD(450, 783) = ( 450 x 783 ) / 39150

GCD(450, 783) = 352350 / 39150

GCD(450, 783) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 87

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

LCM(9, 87) = 261

GCD(9, 87) = ( 9 x 87 ) / 261

GCD(9, 87) = 783 / 261

GCD(9, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 507

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

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

GCD(3, 507) = 1521 / 507

GCD(3, 507) = 3

GCD of 450, 783, 87, 507 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 239, 67, 876
• GCD of 175, 242, 98, 553
• GCD of 830, 426, 98, 709
• GCD of 923, 805, 94, 810
• GCD of 861, 745, 49, 302

1. What is the GCD of 450, 783, 87, 507?

GCD of 450, 783, 87, 507 is 3

2. Where do I get the detailed procedure to find GCD of 450, 783, 87, 507?

You can find a detailed procedure to find GCD of 450, 783, 87, 507 on our page.

3. How to find GCD of 450, 783, 87, 507 on a calculator?

You can find the GCD of 450, 783, 87, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.