GCD of 442, 509, 22, 702 Calculator

Given Input numbers are 442, 509, 22, 702

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 442, 509, 22, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 509, 22, 702 is 1.

Therefore, GCD of numbers 442, 509, 22, 702 is 1

Given Input Data is 442, 509, 22, 702

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 509 is 509

Prime Factorization of 22 is 2 x 11

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(442, 509) = 224978

GCD(442, 509) = ( 442 x 509 ) / 224978

GCD(442, 509) = 224978 / 224978

GCD(442, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 442, 509, 22, 702 is 1

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1. What is the GCD of 442, 509, 22, 702?

GCD of 442, 509, 22, 702 is 1

2. Where do I get the detailed procedure to find GCD of 442, 509, 22, 702?

You can find a detailed procedure to find GCD of 442, 509, 22, 702 on our page.

3. How to find GCD of 442, 509, 22, 702 on a calculator?

You can find the GCD of 442, 509, 22, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.