GCD of 498, 753, 267 Calculator

Given Input numbers are 498, 753, 267

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

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 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Greatest Common Divisior

We found the divisors of 498, 753, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 753, 267 is 3.

Therefore, GCD of numbers 498, 753, 267 is 3

Given Input Data is 498, 753, 267

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 753 is 3 x 251

Prime Factorization of 267 is 3 x 89

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(498, 753) = 124998

GCD(498, 753) = ( 498 x 753 ) / 124998

GCD(498, 753) = 374994 / 124998

GCD(498, 753) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 267

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

LCM(3, 267) = 267

GCD(3, 267) = ( 3 x 267 ) / 267

GCD(3, 267) = 801 / 267

GCD(3, 267) = 3

GCD of 498, 753, 267 is 3

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1. What is the GCD of 498, 753, 267?

GCD of 498, 753, 267 is 3

2. Where do I get the detailed procedure to find GCD of 498, 753, 267?

You can find a detailed procedure to find GCD of 498, 753, 267 on our page.

3. How to find GCD of 498, 753, 267 on a calculator?

You can find the GCD of 498, 753, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.