GCD of 93, 552, 465, 612 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 93, 552, 465, 612 i.e. 3 largest integer that divides all the numbers equally.

GCD of 93, 552, 465, 612 is 3

GCD(93, 552, 465, 612) = 3

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

GCD of

GCD of numbers 93, 552, 465, 612 is 3

GCD(93, 552, 465, 612) = 3

GCD of 93,552,465,612 Calculator

GCDof 93,552,465,612 is 3

Given Input numbers are 93, 552, 465, 612

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

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 93, 552, 465, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 93, 552, 465, 612 is 3.

Therefore, GCD of numbers 93, 552, 465, 612 is 3

Finding GCD of 93, 552, 465, 612 using Prime Factorization

Given Input Data is 93, 552, 465, 612

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

Prime Factorization of 93 is 3 x 31

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 93, 552, 465, 612 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(93, 552) = 17112

GCD(93, 552) = ( 93 x 552 ) / 17112

GCD(93, 552) = 51336 / 17112

GCD(93, 552) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 465

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

LCM(3, 465) = 465

GCD(3, 465) = ( 3 x 465 ) / 465

GCD(3, 465) = 1395 / 465

GCD(3, 465) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 612

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

LCM(3, 612) = 612

GCD(3, 612) = ( 3 x 612 ) / 612

GCD(3, 612) = 1836 / 612

GCD(3, 612) = 3

GCD of 93, 552, 465, 612 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 93, 552, 465, 612

1. What is the GCD of 93, 552, 465, 612?

GCD of 93, 552, 465, 612 is 3


2. Where do I get the detailed procedure to find GCD of 93, 552, 465, 612?

You can find a detailed procedure to find GCD of 93, 552, 465, 612 on our page.


3. How to find GCD of 93, 552, 465, 612 on a calculator?

You can find the GCD of 93, 552, 465, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.