GCD of 369, 460, 294, 886 Calculator

Given Input numbers are 369, 460, 294, 886

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Greatest Common Divisior

We found the divisors of 369, 460, 294, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 460, 294, 886 is 1.

Therefore, GCD of numbers 369, 460, 294, 886 is 1

Given Input Data is 369, 460, 294, 886

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 886 is 2 x 443

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(369, 460) = 169740

GCD(369, 460) = ( 369 x 460 ) / 169740

GCD(369, 460) = 169740 / 169740

GCD(369, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 886

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

LCM(1, 886) = 886

GCD(1, 886) = ( 1 x 886 ) / 886

GCD(1, 886) = 886 / 886

GCD(1, 886) = 1

GCD of 369, 460, 294, 886 is 1

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1. What is the GCD of 369, 460, 294, 886?

GCD of 369, 460, 294, 886 is 1

2. Where do I get the detailed procedure to find GCD of 369, 460, 294, 886?

You can find a detailed procedure to find GCD of 369, 460, 294, 886 on our page.

3. How to find GCD of 369, 460, 294, 886 on a calculator?

You can find the GCD of 369, 460, 294, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.