GCD of 350, 854, 111, 468 Calculator

Given Input numbers are 350, 854, 111, 468

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 350, 854, 111, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 854, 111, 468 is 1.

Therefore, GCD of numbers 350, 854, 111, 468 is 1

Given Input Data is 350, 854, 111, 468

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 111 is 3 x 37

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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(350, 854) = 21350

GCD(350, 854) = ( 350 x 854 ) / 21350

GCD(350, 854) = 298900 / 21350

GCD(350, 854) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 111

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

LCM(14, 111) = 1554

GCD(14, 111) = ( 14 x 111 ) / 1554

GCD(14, 111) = 1554 / 1554

GCD(14, 111) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 350, 854, 111, 468 is 1

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1. What is the GCD of 350, 854, 111, 468?

GCD of 350, 854, 111, 468 is 1

2. Where do I get the detailed procedure to find GCD of 350, 854, 111, 468?

You can find a detailed procedure to find GCD of 350, 854, 111, 468 on our page.

3. How to find GCD of 350, 854, 111, 468 on a calculator?

You can find the GCD of 350, 854, 111, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.