GCD of 762, 498, 33, 888 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 762, 498, 33, 888 i.e. 3 largest integer that divides all the numbers equally.

GCD of 762, 498, 33, 888 is 3

GCD(762, 498, 33, 888) = 3

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

GCD of

GCD of numbers 762, 498, 33, 888 is 3

GCD(762, 498, 33, 888) = 3

GCD of 762,498,33,888 Calculator

GCDof 762,498,33,888 is 3

Given Input numbers are 762, 498, 33, 888

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Greatest Common Divisior

We found the divisors of 762, 498, 33, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 498, 33, 888 is 3.

Therefore, GCD of numbers 762, 498, 33, 888 is 3

Finding GCD of 762, 498, 33, 888 using Prime Factorization

Given Input Data is 762, 498, 33, 888

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 33 is 3 x 11

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 762, 498, 33, 888 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(762, 498) = 63246

GCD(762, 498) = ( 762 x 498 ) / 63246

GCD(762, 498) = 379476 / 63246

GCD(762, 498) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 33

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

LCM(6, 33) = 66

GCD(6, 33) = ( 6 x 33 ) / 66

GCD(6, 33) = 198 / 66

GCD(6, 33) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 888

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

LCM(3, 888) = 888

GCD(3, 888) = ( 3 x 888 ) / 888

GCD(3, 888) = 2664 / 888

GCD(3, 888) = 3

GCD of 762, 498, 33, 888 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 762, 498, 33, 888

1. What is the GCD of 762, 498, 33, 888?

GCD of 762, 498, 33, 888 is 3


2. Where do I get the detailed procedure to find GCD of 762, 498, 33, 888?

You can find a detailed procedure to find GCD of 762, 498, 33, 888 on our page.


3. How to find GCD of 762, 498, 33, 888 on a calculator?

You can find the GCD of 762, 498, 33, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.