GCD of 622, 838, 120, 709 Calculator

Given Input numbers are 622, 838, 120, 709

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

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 622, 838, 120, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 622, 838, 120, 709 is 1.

Therefore, GCD of numbers 622, 838, 120, 709 is 1

Given Input Data is 622, 838, 120, 709

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

Prime Factorization of 622 is 2 x 311

Prime Factorization of 838 is 2 x 419

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 709 is 709

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(622, 838) = 260618

GCD(622, 838) = ( 622 x 838 ) / 260618

GCD(622, 838) = 521236 / 260618

GCD(622, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 120

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

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

GCD(2, 120) = 240 / 120

GCD(2, 120) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 709

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

LCM(2, 709) = 1418

GCD(2, 709) = ( 2 x 709 ) / 1418

GCD(2, 709) = 1418 / 1418

GCD(2, 709) = 1

GCD of 622, 838, 120, 709 is 1

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1. What is the GCD of 622, 838, 120, 709?

GCD of 622, 838, 120, 709 is 1

2. Where do I get the detailed procedure to find GCD of 622, 838, 120, 709?

You can find a detailed procedure to find GCD of 622, 838, 120, 709 on our page.

3. How to find GCD of 622, 838, 120, 709 on a calculator?

You can find the GCD of 622, 838, 120, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.