GCD of 15, 989, 514, 341 Calculator

Given Input numbers are 15, 989, 514, 341

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 15, 989, 514, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 989, 514, 341 is 1.

Therefore, GCD of numbers 15, 989, 514, 341 is 1

Given Input Data is 15, 989, 514, 341

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 989 is 23 x 43

Prime Factorization of 514 is 2 x 257

Prime Factorization of 341 is 11 x 31

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(15, 989) = 14835

GCD(15, 989) = ( 15 x 989 ) / 14835

GCD(15, 989) = 14835 / 14835

GCD(15, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 15, 989, 514, 341 is 1

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• GCD of 96, 638, 685, 883
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• GCD of 35, 579, 379, 408

1. What is the GCD of 15, 989, 514, 341?

GCD of 15, 989, 514, 341 is 1

2. Where do I get the detailed procedure to find GCD of 15, 989, 514, 341?

You can find a detailed procedure to find GCD of 15, 989, 514, 341 on our page.

3. How to find GCD of 15, 989, 514, 341 on a calculator?

You can find the GCD of 15, 989, 514, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.