GCD of 861, 289, 354 Calculator

Given Input numbers are 861, 289, 354

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 861, 289, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 289, 354 is 1.

Therefore, GCD of numbers 861, 289, 354 is 1

Given Input Data is 861, 289, 354

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 289 is 17 x 17

Prime Factorization of 354 is 2 x 3 x 59

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(861, 289) = 248829

GCD(861, 289) = ( 861 x 289 ) / 248829

GCD(861, 289) = 248829 / 248829

GCD(861, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 861, 289, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 969, 149
• GCD of 466, 474, 324
• GCD of 632, 958, 462
• GCD of 280, 713, 309
• GCD of 134, 558, 824

1. What is the GCD of 861, 289, 354?

GCD of 861, 289, 354 is 1

2. Where do I get the detailed procedure to find GCD of 861, 289, 354?

You can find a detailed procedure to find GCD of 861, 289, 354 on our page.

3. How to find GCD of 861, 289, 354 on a calculator?

You can find the GCD of 861, 289, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.