GCD of 550, 675, 465 Calculator

Given Input numbers are 550, 675, 465

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

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 465

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

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

Greatest Common Divisior

We found the divisors of 550, 675, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 675, 465 is 5.

Therefore, GCD of numbers 550, 675, 465 is 5

Given Input Data is 550, 675, 465

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 465 is 3 x 5 x 31

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(550, 675) = 14850

GCD(550, 675) = ( 550 x 675 ) / 14850

GCD(550, 675) = 371250 / 14850

GCD(550, 675) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 465

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

LCM(25, 465) = 2325

GCD(25, 465) = ( 25 x 465 ) / 2325

GCD(25, 465) = 11625 / 2325

GCD(25, 465) = 5

GCD of 550, 675, 465 is 5

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• GCD of 285, 303, 788
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1. What is the GCD of 550, 675, 465?

GCD of 550, 675, 465 is 5

2. Where do I get the detailed procedure to find GCD of 550, 675, 465?

You can find a detailed procedure to find GCD of 550, 675, 465 on our page.

3. How to find GCD of 550, 675, 465 on a calculator?

You can find the GCD of 550, 675, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.