GCD of 142, 266, 414 Calculator

Given Input numbers are 142, 266, 414

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

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

Greatest Common Divisior

We found the divisors of 142, 266, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 266, 414 is 2.

Therefore, GCD of numbers 142, 266, 414 is 2

Given Input Data is 142, 266, 414

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 266 is 2 x 7 x 19

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(142, 266) = 18886

GCD(142, 266) = ( 142 x 266 ) / 18886

GCD(142, 266) = 37772 / 18886

GCD(142, 266) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 414

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

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

GCD(2, 414) = 828 / 414

GCD(2, 414) = 2

GCD of 142, 266, 414 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 300, 373
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1. What is the GCD of 142, 266, 414?

GCD of 142, 266, 414 is 2

2. Where do I get the detailed procedure to find GCD of 142, 266, 414?

You can find a detailed procedure to find GCD of 142, 266, 414 on our page.

3. How to find GCD of 142, 266, 414 on a calculator?

You can find the GCD of 142, 266, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.