GCD of 260, 498, 852 Calculator

Given Input numbers are 260, 498, 852

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

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 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 260, 498, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 498, 852 is 2.

Therefore, GCD of numbers 260, 498, 852 is 2

Given Input Data is 260, 498, 852

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 852 is 2 x 2 x 3 x 71

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(260, 498) = 64740

GCD(260, 498) = ( 260 x 498 ) / 64740

GCD(260, 498) = 129480 / 64740

GCD(260, 498) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 852

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

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

GCD(2, 852) = 1704 / 852

GCD(2, 852) = 2

GCD of 260, 498, 852 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 127, 474, 253
• GCD of 202, 737, 986
• GCD of 176, 613, 854
• GCD of 914, 415, 809
• GCD of 545, 735, 432

1. What is the GCD of 260, 498, 852?

GCD of 260, 498, 852 is 2

2. Where do I get the detailed procedure to find GCD of 260, 498, 852?

You can find a detailed procedure to find GCD of 260, 498, 852 on our page.

3. How to find GCD of 260, 498, 852 on a calculator?

You can find the GCD of 260, 498, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.