GCD of 345, 363, 21, 276 Calculator

Given Input numbers are 345, 363, 21, 276

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

Divisors of 345

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

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Greatest Common Divisior

We found the divisors of 345, 363, 21, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 363, 21, 276 is 3.

Therefore, GCD of numbers 345, 363, 21, 276 is 3

Given Input Data is 345, 363, 21, 276

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 21 is 3 x 7

Prime Factorization of 276 is 2 x 2 x 3 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(345, 363) = 41745

GCD(345, 363) = ( 345 x 363 ) / 41745

GCD(345, 363) = 125235 / 41745

GCD(345, 363) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 276

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

LCM(3, 276) = 276

GCD(3, 276) = ( 3 x 276 ) / 276

GCD(3, 276) = 828 / 276

GCD(3, 276) = 3

GCD of 345, 363, 21, 276 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 726, 45, 336
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• GCD of 174, 716, 69, 981
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• GCD of 914, 601, 52, 432

1. What is the GCD of 345, 363, 21, 276?

GCD of 345, 363, 21, 276 is 3

2. Where do I get the detailed procedure to find GCD of 345, 363, 21, 276?

You can find a detailed procedure to find GCD of 345, 363, 21, 276 on our page.

3. How to find GCD of 345, 363, 21, 276 on a calculator?

You can find the GCD of 345, 363, 21, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.