GCD of 919, 207, 730, 508 Calculator

Given Input numbers are 919, 207, 730, 508

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

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 919, 207, 730, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 919, 207, 730, 508 is 1.

Therefore, GCD of numbers 919, 207, 730, 508 is 1

Given Input Data is 919, 207, 730, 508

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

Prime Factorization of 919 is 919

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 508 is 2 x 2 x 127

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(919, 207) = 190233

GCD(919, 207) = ( 919 x 207 ) / 190233

GCD(919, 207) = 190233 / 190233

GCD(919, 207) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 919, 207, 730, 508 is 1

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1. What is the GCD of 919, 207, 730, 508?

GCD of 919, 207, 730, 508 is 1

2. Where do I get the detailed procedure to find GCD of 919, 207, 730, 508?

You can find a detailed procedure to find GCD of 919, 207, 730, 508 on our page.

3. How to find GCD of 919, 207, 730, 508 on a calculator?

You can find the GCD of 919, 207, 730, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.