GCD of 267, 414, 417 Calculator

Given Input numbers are 267, 414, 417

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

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 267, 414, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 414, 417 is 3.

Therefore, GCD of numbers 267, 414, 417 is 3

Given Input Data is 267, 414, 417

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 417 is 3 x 139

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(267, 414) = 36846

GCD(267, 414) = ( 267 x 414 ) / 36846

GCD(267, 414) = 110538 / 36846

GCD(267, 414) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 417

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

LCM(3, 417) = 417

GCD(3, 417) = ( 3 x 417 ) / 417

GCD(3, 417) = 1251 / 417

GCD(3, 417) = 3

GCD of 267, 414, 417 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 563, 246
• GCD of 493, 135, 296
• GCD of 216, 268, 247
• GCD of 516, 864, 452
• GCD of 569, 319, 374

1. What is the GCD of 267, 414, 417?

GCD of 267, 414, 417 is 3

2. Where do I get the detailed procedure to find GCD of 267, 414, 417?

You can find a detailed procedure to find GCD of 267, 414, 417 on our page.

3. How to find GCD of 267, 414, 417 on a calculator?

You can find the GCD of 267, 414, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.