GCD of 722, 990, 67, 409 Calculator

Given Input numbers are 722, 990, 67, 409

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 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 722, 990, 67, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 990, 67, 409 is 1.

Therefore, GCD of numbers 722, 990, 67, 409 is 1

Given Input Data is 722, 990, 67, 409

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 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 67 is 67

Prime Factorization of 409 is 409

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, 990) = 357390

GCD(722, 990) = ( 722 x 990 ) / 357390

GCD(722, 990) = 714780 / 357390

GCD(722, 990) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 67

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

LCM(2, 67) = 134

GCD(2, 67) = ( 2 x 67 ) / 134

GCD(2, 67) = 134 / 134

GCD(2, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

GCD of 722, 990, 67, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 831, 23, 607
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• GCD of 604, 187, 86, 107
• GCD of 367, 194, 32, 144
• GCD of 784, 320, 40, 349

1. What is the GCD of 722, 990, 67, 409?

GCD of 722, 990, 67, 409 is 1

2. Where do I get the detailed procedure to find GCD of 722, 990, 67, 409?

You can find a detailed procedure to find GCD of 722, 990, 67, 409 on our page.

3. How to find GCD of 722, 990, 67, 409 on a calculator?

You can find the GCD of 722, 990, 67, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.