GCD of 280, 355, 166, 287 Calculator

Given Input numbers are 280, 355, 166, 287

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Greatest Common Divisior

We found the divisors of 280, 355, 166, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 355, 166, 287 is 1.

Therefore, GCD of numbers 280, 355, 166, 287 is 1

Given Input Data is 280, 355, 166, 287

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 355 is 5 x 71

Prime Factorization of 166 is 2 x 83

Prime Factorization of 287 is 7 x 41

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(280, 355) = 19880

GCD(280, 355) = ( 280 x 355 ) / 19880

GCD(280, 355) = 99400 / 19880

GCD(280, 355) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 166

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

LCM(5, 166) = 830

GCD(5, 166) = ( 5 x 166 ) / 830

GCD(5, 166) = 830 / 830

GCD(5, 166) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 287

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

LCM(1, 287) = 287

GCD(1, 287) = ( 1 x 287 ) / 287

GCD(1, 287) = 287 / 287

GCD(1, 287) = 1

GCD of 280, 355, 166, 287 is 1

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1. What is the GCD of 280, 355, 166, 287?

GCD of 280, 355, 166, 287 is 1

2. Where do I get the detailed procedure to find GCD of 280, 355, 166, 287?

You can find a detailed procedure to find GCD of 280, 355, 166, 287 on our page.

3. How to find GCD of 280, 355, 166, 287 on a calculator?

You can find the GCD of 280, 355, 166, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.