GCD of 265, 842, 414 Calculator

Given Input numbers are 265, 842, 414

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

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

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 265, 842, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 842, 414 is 1.

Therefore, GCD of numbers 265, 842, 414 is 1

Given Input Data is 265, 842, 414

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

Prime Factorization of 265 is 5 x 53

Prime Factorization of 842 is 2 x 421

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

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(265, 842) = 223130

GCD(265, 842) = ( 265 x 842 ) / 223130

GCD(265, 842) = 223130 / 223130

GCD(265, 842) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 265, 842, 414 is 1

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1. What is the GCD of 265, 842, 414?

GCD of 265, 842, 414 is 1

2. Where do I get the detailed procedure to find GCD of 265, 842, 414?

You can find a detailed procedure to find GCD of 265, 842, 414 on our page.

3. How to find GCD of 265, 842, 414 on a calculator?

You can find the GCD of 265, 842, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.