GCD of 822, 603, 698, 722 Calculator

Given Input numbers are 822, 603, 698, 722

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

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 822, 603, 698, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 603, 698, 722 is 1.

Therefore, GCD of numbers 822, 603, 698, 722 is 1

Given Input Data is 822, 603, 698, 722

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 603 is 3 x 3 x 67

Prime Factorization of 698 is 2 x 349

Prime Factorization of 722 is 2 x 19 x 19

The above numbers do not have any common prime factor. So GCD is 1

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(822, 603) = 165222

GCD(822, 603) = ( 822 x 603 ) / 165222

GCD(822, 603) = 495666 / 165222

GCD(822, 603) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 698

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

LCM(3, 698) = 2094

GCD(3, 698) = ( 3 x 698 ) / 2094

GCD(3, 698) = 2094 / 2094

GCD(3, 698) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 822, 603, 698, 722 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 519, 241, 858, 244
• GCD of 939, 829, 303, 668
• GCD of 126, 494, 777, 867
• GCD of 253, 609, 499, 497
• GCD of 121, 856, 931, 983

1. What is the GCD of 822, 603, 698, 722?

GCD of 822, 603, 698, 722 is 1

2. Where do I get the detailed procedure to find GCD of 822, 603, 698, 722?

You can find a detailed procedure to find GCD of 822, 603, 698, 722 on our page.

3. How to find GCD of 822, 603, 698, 722 on a calculator?

You can find the GCD of 822, 603, 698, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.