GCD of 509, 398, 179, 946 Calculator

Given Input numbers are 509, 398, 179, 946

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

Divisors of 509

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

1, 509

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 509, 398, 179, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 398, 179, 946 is 1.

Therefore, GCD of numbers 509, 398, 179, 946 is 1

Given Input Data is 509, 398, 179, 946

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

Prime Factorization of 509 is 509

Prime Factorization of 398 is 2 x 199

Prime Factorization of 179 is 179

Prime Factorization of 946 is 2 x 11 x 43

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(509, 398) = 202582

GCD(509, 398) = ( 509 x 398 ) / 202582

GCD(509, 398) = 202582 / 202582

GCD(509, 398) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 179

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

LCM(1, 179) = 179

GCD(1, 179) = ( 1 x 179 ) / 179

GCD(1, 179) = 179 / 179

GCD(1, 179) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 509, 398, 179, 946 is 1

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• GCD of 359, 152, 261, 328
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• GCD of 222, 264, 965, 917
• GCD of 223, 458, 594, 100
• GCD of 275, 832, 200, 685

1. What is the GCD of 509, 398, 179, 946?

GCD of 509, 398, 179, 946 is 1

2. Where do I get the detailed procedure to find GCD of 509, 398, 179, 946?

You can find a detailed procedure to find GCD of 509, 398, 179, 946 on our page.

3. How to find GCD of 509, 398, 179, 946 on a calculator?

You can find the GCD of 509, 398, 179, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.