GCD of 279, 180, 35, 458 Calculator

Given Input numbers are 279, 180, 35, 458

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

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 279, 180, 35, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 180, 35, 458 is 1.

Therefore, GCD of numbers 279, 180, 35, 458 is 1

Given Input Data is 279, 180, 35, 458

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

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 35 is 5 x 7

Prime Factorization of 458 is 2 x 229

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(279, 180) = 5580

GCD(279, 180) = ( 279 x 180 ) / 5580

GCD(279, 180) = 50220 / 5580

GCD(279, 180) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 35

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

LCM(9, 35) = 315

GCD(9, 35) = ( 9 x 35 ) / 315

GCD(9, 35) = 315 / 315

GCD(9, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 279, 180, 35, 458 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 980, 59, 874
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• GCD of 353, 905, 48, 534
• GCD of 240, 277, 67, 580
• GCD of 218, 299, 84, 310

1. What is the GCD of 279, 180, 35, 458?

GCD of 279, 180, 35, 458 is 1

2. Where do I get the detailed procedure to find GCD of 279, 180, 35, 458?

You can find a detailed procedure to find GCD of 279, 180, 35, 458 on our page.

3. How to find GCD of 279, 180, 35, 458 on a calculator?

You can find the GCD of 279, 180, 35, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.