GCD of 852, 498, 722 Calculator

Given Input numbers are 852, 498, 722

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

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

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 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 852, 498, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 498, 722 is 2.

Therefore, GCD of numbers 852, 498, 722 is 2

Given Input Data is 852, 498, 722

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

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 722 is 2 x 19 x 19

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(852, 498) = 70716

GCD(852, 498) = ( 852 x 498 ) / 70716

GCD(852, 498) = 424296 / 70716

GCD(852, 498) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 722

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

LCM(6, 722) = 2166

GCD(6, 722) = ( 6 x 722 ) / 2166

GCD(6, 722) = 4332 / 2166

GCD(6, 722) = 2

GCD of 852, 498, 722 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 165, 124
• GCD of 119, 551, 696
• GCD of 940, 393, 205
• GCD of 367, 763, 228
• GCD of 507, 316, 703

1. What is the GCD of 852, 498, 722?

GCD of 852, 498, 722 is 2

2. Where do I get the detailed procedure to find GCD of 852, 498, 722?

You can find a detailed procedure to find GCD of 852, 498, 722 on our page.

3. How to find GCD of 852, 498, 722 on a calculator?

You can find the GCD of 852, 498, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.