GCD of 145, 165, 15, 775 Calculator

Given Input numbers are 145, 165, 15, 775

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

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 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 145, 165, 15, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 165, 15, 775 is 5.

Therefore, GCD of numbers 145, 165, 15, 775 is 5

Given Input Data is 145, 165, 15, 775

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 15 is 3 x 5

Prime Factorization of 775 is 5 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(145, 165) = 4785

GCD(145, 165) = ( 145 x 165 ) / 4785

GCD(145, 165) = 23925 / 4785

GCD(145, 165) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 15

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

LCM(5, 15) = 15

GCD(5, 15) = ( 5 x 15 ) / 15

GCD(5, 15) = 75 / 15

GCD(5, 15) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 775

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

LCM(5, 775) = 775

GCD(5, 775) = ( 5 x 775 ) / 775

GCD(5, 775) = 3875 / 775

GCD(5, 775) = 5

GCD of 145, 165, 15, 775 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 896, 54, 114
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• GCD of 643, 502, 73, 762

1. What is the GCD of 145, 165, 15, 775?

GCD of 145, 165, 15, 775 is 5

2. Where do I get the detailed procedure to find GCD of 145, 165, 15, 775?

You can find a detailed procedure to find GCD of 145, 165, 15, 775 on our page.

3. How to find GCD of 145, 165, 15, 775 on a calculator?

You can find the GCD of 145, 165, 15, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.