GCD of 165, 925, 185, 495 Calculator

Given Input numbers are 165, 925, 185, 495

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 165, 925, 185, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 925, 185, 495 is 5.

Therefore, GCD of numbers 165, 925, 185, 495 is 5

Given Input Data is 165, 925, 185, 495

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 185 is 5 x 37

Prime Factorization of 495 is 3 x 3 x 5 x 11

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(165, 925) = 30525

GCD(165, 925) = ( 165 x 925 ) / 30525

GCD(165, 925) = 152625 / 30525

GCD(165, 925) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 185

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

LCM(5, 185) = 185

GCD(5, 185) = ( 5 x 185 ) / 185

GCD(5, 185) = 925 / 185

GCD(5, 185) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 495

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

LCM(5, 495) = 495

GCD(5, 495) = ( 5 x 495 ) / 495

GCD(5, 495) = 2475 / 495

GCD(5, 495) = 5

GCD of 165, 925, 185, 495 is 5

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• GCD of 621, 359, 352, 284
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• GCD of 438, 467, 409, 685

1. What is the GCD of 165, 925, 185, 495?

GCD of 165, 925, 185, 495 is 5

2. Where do I get the detailed procedure to find GCD of 165, 925, 185, 495?

You can find a detailed procedure to find GCD of 165, 925, 185, 495 on our page.

3. How to find GCD of 165, 925, 185, 495 on a calculator?

You can find the GCD of 165, 925, 185, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.