GCD of 891, 474, 429, 345 Calculator

Given Input numbers are 891, 474, 429, 345

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

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 891, 474, 429, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 474, 429, 345 is 3.

Therefore, GCD of numbers 891, 474, 429, 345 is 3

Given Input Data is 891, 474, 429, 345

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

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 345 is 3 x 5 x 23

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(891, 474) = 140778

GCD(891, 474) = ( 891 x 474 ) / 140778

GCD(891, 474) = 422334 / 140778

GCD(891, 474) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 429

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

LCM(3, 429) = 429

GCD(3, 429) = ( 3 x 429 ) / 429

GCD(3, 429) = 1287 / 429

GCD(3, 429) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 345

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

LCM(3, 345) = 345

GCD(3, 345) = ( 3 x 345 ) / 345

GCD(3, 345) = 1035 / 345

GCD(3, 345) = 3

GCD of 891, 474, 429, 345 is 3

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1. What is the GCD of 891, 474, 429, 345?

GCD of 891, 474, 429, 345 is 3

2. Where do I get the detailed procedure to find GCD of 891, 474, 429, 345?

You can find a detailed procedure to find GCD of 891, 474, 429, 345 on our page.

3. How to find GCD of 891, 474, 429, 345 on a calculator?

You can find the GCD of 891, 474, 429, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.