GCD of 235, 814, 360, 946 Calculator

Given Input numbers are 235, 814, 360, 946

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

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 235, 814, 360, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 814, 360, 946 is 1.

Therefore, GCD of numbers 235, 814, 360, 946 is 1

Given Input Data is 235, 814, 360, 946

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

Prime Factorization of 235 is 5 x 47

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 946 is 2 x 11 x 43

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(235, 814) = 191290

GCD(235, 814) = ( 235 x 814 ) / 191290

GCD(235, 814) = 191290 / 191290

GCD(235, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 235, 814, 360, 946 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 900, 905, 980
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• GCD of 201, 434, 114, 466

1. What is the GCD of 235, 814, 360, 946?

GCD of 235, 814, 360, 946 is 1

2. Where do I get the detailed procedure to find GCD of 235, 814, 360, 946?

You can find a detailed procedure to find GCD of 235, 814, 360, 946 on our page.

3. How to find GCD of 235, 814, 360, 946 on a calculator?

You can find the GCD of 235, 814, 360, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.