GCD of 261, 280, 179 Calculator

Given Input numbers are 261, 280, 179

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

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 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Greatest Common Divisior

We found the divisors of 261, 280, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 280, 179 is 1.

Therefore, GCD of numbers 261, 280, 179 is 1

Given Input Data is 261, 280, 179

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

Prime Factorization of 261 is 3 x 3 x 29

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

Prime Factorization of 179 is 179

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(261, 280) = 73080

GCD(261, 280) = ( 261 x 280 ) / 73080

GCD(261, 280) = 73080 / 73080

GCD(261, 280) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 179

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

LCM(1, 179) = 179

GCD(1, 179) = ( 1 x 179 ) / 179

GCD(1, 179) = 179 / 179

GCD(1, 179) = 1

GCD of 261, 280, 179 is 1

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1. What is the GCD of 261, 280, 179?

GCD of 261, 280, 179 is 1

2. Where do I get the detailed procedure to find GCD of 261, 280, 179?

You can find a detailed procedure to find GCD of 261, 280, 179 on our page.

3. How to find GCD of 261, 280, 179 on a calculator?

You can find the GCD of 261, 280, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.