GCD of 473, 500, 67, 165 Calculator

Given Input numbers are 473, 500, 67, 165

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

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

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 473, 500, 67, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 500, 67, 165 is 1.

Therefore, GCD of numbers 473, 500, 67, 165 is 1

Given Input Data is 473, 500, 67, 165

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

Prime Factorization of 473 is 11 x 43

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 67 is 67

Prime Factorization of 165 is 3 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

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(473, 500) = 236500

GCD(473, 500) = ( 473 x 500 ) / 236500

GCD(473, 500) = 236500 / 236500

GCD(473, 500) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 473, 500, 67, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 444, 14, 367
• GCD of 540, 927, 56, 592
• GCD of 620, 822, 24, 255
• GCD of 986, 476, 94, 494
• GCD of 834, 978, 25, 449

1. What is the GCD of 473, 500, 67, 165?

GCD of 473, 500, 67, 165 is 1

2. Where do I get the detailed procedure to find GCD of 473, 500, 67, 165?

You can find a detailed procedure to find GCD of 473, 500, 67, 165 on our page.

3. How to find GCD of 473, 500, 67, 165 on a calculator?

You can find the GCD of 473, 500, 67, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.