GCD of 814, 121, 473 Calculator

Given Input numbers are 814, 121, 473

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 814, 121, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 121, 473 is 11.

Therefore, GCD of numbers 814, 121, 473 is 11

Given Input Data is 814, 121, 473

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 121 is 11 x 11

Prime Factorization of 473 is 11 x 43

Highest common occurrences in the given inputs are 11¹

Multiplying them we get the GCD as 11

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(814, 121) = 8954

GCD(814, 121) = ( 814 x 121 ) / 8954

GCD(814, 121) = 98494 / 8954

GCD(814, 121) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 473

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

LCM(11, 473) = 473

GCD(11, 473) = ( 11 x 473 ) / 473

GCD(11, 473) = 5203 / 473

GCD(11, 473) = 11

GCD of 814, 121, 473 is 11

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1. What is the GCD of 814, 121, 473?

GCD of 814, 121, 473 is 11

2. Where do I get the detailed procedure to find GCD of 814, 121, 473?

You can find a detailed procedure to find GCD of 814, 121, 473 on our page.

3. How to find GCD of 814, 121, 473 on a calculator?

You can find the GCD of 814, 121, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.