GCD of 460, 950, 165 Calculator

Given Input numbers are 460, 950, 165

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 165

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

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

Greatest Common Divisior

We found the divisors of 460, 950, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 950, 165 is 5.

Therefore, GCD of numbers 460, 950, 165 is 5

Given Input Data is 460, 950, 165

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 165 is 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(460, 950) = 43700

GCD(460, 950) = ( 460 x 950 ) / 43700

GCD(460, 950) = 437000 / 43700

GCD(460, 950) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 165

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

LCM(10, 165) = 330

GCD(10, 165) = ( 10 x 165 ) / 330

GCD(10, 165) = 1650 / 330

GCD(10, 165) = 5

GCD of 460, 950, 165 is 5

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1. What is the GCD of 460, 950, 165?

GCD of 460, 950, 165 is 5

2. Where do I get the detailed procedure to find GCD of 460, 950, 165?

You can find a detailed procedure to find GCD of 460, 950, 165 on our page.

3. How to find GCD of 460, 950, 165 on a calculator?

You can find the GCD of 460, 950, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.