GCD of 450, 290, 920 Calculator

Given Input numbers are 450, 290, 920

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 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 450, 290, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 290, 920 is 10.

Therefore, GCD of numbers 450, 290, 920 is 10

Given Input Data is 450, 290, 920

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 290 is 2 x 5 x 29

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Highest common occurrences in the given inputs are 2¹ x 5¹

Multiplying them we get the GCD as 10

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, 290) = 13050

GCD(450, 290) = ( 450 x 290 ) / 13050

GCD(450, 290) = 130500 / 13050

GCD(450, 290) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 920

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

LCM(10, 920) = 920

GCD(10, 920) = ( 10 x 920 ) / 920

GCD(10, 920) = 9200 / 920

GCD(10, 920) = 10

GCD of 450, 290, 920 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 388, 793
• GCD of 265, 847, 669
• GCD of 290, 707, 855
• GCD of 885, 742, 349
• GCD of 592, 516, 335

1. What is the GCD of 450, 290, 920?

GCD of 450, 290, 920 is 10

2. Where do I get the detailed procedure to find GCD of 450, 290, 920?

You can find a detailed procedure to find GCD of 450, 290, 920 on our page.

3. How to find GCD of 450, 290, 920 on a calculator?

You can find the GCD of 450, 290, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.