GCD of 489, 712, 370, 922 Calculator

Given Input numbers are 489, 712, 370, 922

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

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 489, 712, 370, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 712, 370, 922 is 1.

Therefore, GCD of numbers 489, 712, 370, 922 is 1

Given Input Data is 489, 712, 370, 922

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 922 is 2 x 461

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(489, 712) = 348168

GCD(489, 712) = ( 489 x 712 ) / 348168

GCD(489, 712) = 348168 / 348168

GCD(489, 712) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

GCD of 489, 712, 370, 922 is 1

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1. What is the GCD of 489, 712, 370, 922?

GCD of 489, 712, 370, 922 is 1

2. Where do I get the detailed procedure to find GCD of 489, 712, 370, 922?

You can find a detailed procedure to find GCD of 489, 712, 370, 922 on our page.

3. How to find GCD of 489, 712, 370, 922 on a calculator?

You can find the GCD of 489, 712, 370, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.