GCD of 75, 153, 213, 483 Calculator

Given Input numbers are 75, 153, 213, 483

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Greatest Common Divisior

We found the divisors of 75, 153, 213, 483 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 153, 213, 483 is 3.

Therefore, GCD of numbers 75, 153, 213, 483 is 3

Given Input Data is 75, 153, 213, 483

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 213 is 3 x 71

Prime Factorization of 483 is 3 x 7 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(75, 153) = 3825

GCD(75, 153) = ( 75 x 153 ) / 3825

GCD(75, 153) = 11475 / 3825

GCD(75, 153) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 213

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

LCM(3, 213) = 213

GCD(3, 213) = ( 3 x 213 ) / 213

GCD(3, 213) = 639 / 213

GCD(3, 213) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 483

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

LCM(3, 483) = 483

GCD(3, 483) = ( 3 x 483 ) / 483

GCD(3, 483) = 1449 / 483

GCD(3, 483) = 3

GCD of 75, 153, 213, 483 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 429, 155, 116
• GCD of 21, 312, 233, 292
• GCD of 25, 512, 474, 295
• GCD of 43, 472, 153, 759
• GCD of 20, 158, 661, 900

1. What is the GCD of 75, 153, 213, 483?

GCD of 75, 153, 213, 483 is 3

2. Where do I get the detailed procedure to find GCD of 75, 153, 213, 483?

You can find a detailed procedure to find GCD of 75, 153, 213, 483 on our page.

3. How to find GCD of 75, 153, 213, 483 on a calculator?

You can find the GCD of 75, 153, 213, 483 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.