GCD of 126, 213, 75 Calculator

Given Input numbers are 126, 213, 75

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 213

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

1, 3, 71, 213

Divisors of 75

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

1, 3, 5, 15, 25, 75

Greatest Common Divisior

We found the divisors of 126, 213, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 213, 75 is 3.

Therefore, GCD of numbers 126, 213, 75 is 3

Given Input Data is 126, 213, 75

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 213 is 3 x 71

Prime Factorization of 75 is 3 x 5 x 5

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(126, 213) = 8946

GCD(126, 213) = ( 126 x 213 ) / 8946

GCD(126, 213) = 26838 / 8946

GCD(126, 213) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 75

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

LCM(3, 75) = 75

GCD(3, 75) = ( 3 x 75 ) / 75

GCD(3, 75) = 225 / 75

GCD(3, 75) = 3

GCD of 126, 213, 75 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 571, 59
• GCD of 270, 554, 68
• GCD of 804, 742, 77
• GCD of 981, 182, 95
• GCD of 294, 198, 85

1. What is the GCD of 126, 213, 75?

GCD of 126, 213, 75 is 3

2. Where do I get the detailed procedure to find GCD of 126, 213, 75?

You can find a detailed procedure to find GCD of 126, 213, 75 on our page.

3. How to find GCD of 126, 213, 75 on a calculator?

You can find the GCD of 126, 213, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.