GCD of 816, 855, 765, 498 Calculator

Given Input numbers are 816, 855, 765, 498

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 498

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

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

Greatest Common Divisior

We found the divisors of 816, 855, 765, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 855, 765, 498 is 3.

Therefore, GCD of numbers 816, 855, 765, 498 is 3

Given Input Data is 816, 855, 765, 498

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 498 is 2 x 3 x 83

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(816, 855) = 232560

GCD(816, 855) = ( 816 x 855 ) / 232560

GCD(816, 855) = 697680 / 232560

GCD(816, 855) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 765

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

LCM(3, 765) = 765

GCD(3, 765) = ( 3 x 765 ) / 765

GCD(3, 765) = 2295 / 765

GCD(3, 765) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 498

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

LCM(3, 498) = 498

GCD(3, 498) = ( 3 x 498 ) / 498

GCD(3, 498) = 1494 / 498

GCD(3, 498) = 3

GCD of 816, 855, 765, 498 is 3

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• GCD of 646, 580, 579, 859
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• GCD of 175, 568, 957, 752

1. What is the GCD of 816, 855, 765, 498?

GCD of 816, 855, 765, 498 is 3

2. Where do I get the detailed procedure to find GCD of 816, 855, 765, 498?

You can find a detailed procedure to find GCD of 816, 855, 765, 498 on our page.

3. How to find GCD of 816, 855, 765, 498 on a calculator?

You can find the GCD of 816, 855, 765, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.