GCD of 722, 268, 699, 198 Calculator

Given Input numbers are 722, 268, 699, 198

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

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 722, 268, 699, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 268, 699, 198 is 1.

Therefore, GCD of numbers 722, 268, 699, 198 is 1

Given Input Data is 722, 268, 699, 198

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 699 is 3 x 233

Prime Factorization of 198 is 2 x 3 x 3 x 11

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(722, 268) = 96748

GCD(722, 268) = ( 722 x 268 ) / 96748

GCD(722, 268) = 193496 / 96748

GCD(722, 268) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 699

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

LCM(2, 699) = 1398

GCD(2, 699) = ( 2 x 699 ) / 1398

GCD(2, 699) = 1398 / 1398

GCD(2, 699) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 722, 268, 699, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 808, 120, 315
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• GCD of 222, 158, 221, 515
• GCD of 424, 619, 884, 672
• GCD of 380, 449, 214, 855

1. What is the GCD of 722, 268, 699, 198?

GCD of 722, 268, 699, 198 is 1

2. Where do I get the detailed procedure to find GCD of 722, 268, 699, 198?

You can find a detailed procedure to find GCD of 722, 268, 699, 198 on our page.

3. How to find GCD of 722, 268, 699, 198 on a calculator?

You can find the GCD of 722, 268, 699, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.