GCD of 951, 672, 99, 228 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 951, 672, 99, 228 i.e. 3 largest integer that divides all the numbers equally.

GCD of 951, 672, 99, 228 is 3

GCD(951, 672, 99, 228) = 3

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 951, 672, 99, 228 is 3

GCD(951, 672, 99, 228) = 3

GCD of 951,672,99,228 Calculator

GCDof 951,672,99,228 is 3

Given Input numbers are 951, 672, 99, 228

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

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Greatest Common Divisior

We found the divisors of 951, 672, 99, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 951, 672, 99, 228 is 3.

Therefore, GCD of numbers 951, 672, 99, 228 is 3

Finding GCD of 951, 672, 99, 228 using Prime Factorization

Given Input Data is 951, 672, 99, 228

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

Prime Factorization of 951 is 3 x 317

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 228 is 2 x 2 x 3 x 19

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 951, 672, 99, 228 using LCM Formula

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(951, 672) = 213024

GCD(951, 672) = ( 951 x 672 ) / 213024

GCD(951, 672) = 639072 / 213024

GCD(951, 672) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 99

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

LCM(3, 99) = 99

GCD(3, 99) = ( 3 x 99 ) / 99

GCD(3, 99) = 297 / 99

GCD(3, 99) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 228

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

LCM(3, 228) = 228

GCD(3, 228) = ( 3 x 228 ) / 228

GCD(3, 228) = 684 / 228

GCD(3, 228) = 3

GCD of 951, 672, 99, 228 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 951, 672, 99, 228

1. What is the GCD of 951, 672, 99, 228?

GCD of 951, 672, 99, 228 is 3


2. Where do I get the detailed procedure to find GCD of 951, 672, 99, 228?

You can find a detailed procedure to find GCD of 951, 672, 99, 228 on our page.


3. How to find GCD of 951, 672, 99, 228 on a calculator?

You can find the GCD of 951, 672, 99, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.