GCD of 742, 584, 22, 669 Calculator

Given Input numbers are 742, 584, 22, 669

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 22

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

1, 2, 11, 22

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 742, 584, 22, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 584, 22, 669 is 1.

Therefore, GCD of numbers 742, 584, 22, 669 is 1

Given Input Data is 742, 584, 22, 669

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 22 is 2 x 11

Prime Factorization of 669 is 3 x 223

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(742, 584) = 216664

GCD(742, 584) = ( 742 x 584 ) / 216664

GCD(742, 584) = 433328 / 216664

GCD(742, 584) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 669

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

LCM(2, 669) = 1338

GCD(2, 669) = ( 2 x 669 ) / 1338

GCD(2, 669) = 1338 / 1338

GCD(2, 669) = 1

GCD of 742, 584, 22, 669 is 1

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1. What is the GCD of 742, 584, 22, 669?

GCD of 742, 584, 22, 669 is 1

2. Where do I get the detailed procedure to find GCD of 742, 584, 22, 669?

You can find a detailed procedure to find GCD of 742, 584, 22, 669 on our page.

3. How to find GCD of 742, 584, 22, 669 on a calculator?

You can find the GCD of 742, 584, 22, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.