GCD of 354, 105, 891 Calculator

Given Input numbers are 354, 105, 891

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

Divisors of 354

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

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 354, 105, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 105, 891 is 3.

Therefore, GCD of numbers 354, 105, 891 is 3

Given Input Data is 354, 105, 891

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(354, 105) = 12390

GCD(354, 105) = ( 354 x 105 ) / 12390

GCD(354, 105) = 37170 / 12390

GCD(354, 105) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 891

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

LCM(3, 891) = 891

GCD(3, 891) = ( 3 x 891 ) / 891

GCD(3, 891) = 2673 / 891

GCD(3, 891) = 3

GCD of 354, 105, 891 is 3

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1. What is the GCD of 354, 105, 891?

GCD of 354, 105, 891 is 3

2. Where do I get the detailed procedure to find GCD of 354, 105, 891?

You can find a detailed procedure to find GCD of 354, 105, 891 on our page.

3. How to find GCD of 354, 105, 891 on a calculator?

You can find the GCD of 354, 105, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.