GCD of 949, 548, 15, 819 Calculator

Given Input numbers are 949, 548, 15, 819

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

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 15

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

1, 3, 5, 15

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Greatest Common Divisior

We found the divisors of 949, 548, 15, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 548, 15, 819 is 1.

Therefore, GCD of numbers 949, 548, 15, 819 is 1

Given Input Data is 949, 548, 15, 819

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 15 is 3 x 5

Prime Factorization of 819 is 3 x 3 x 7 x 13

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(949, 548) = 520052

GCD(949, 548) = ( 949 x 548 ) / 520052

GCD(949, 548) = 520052 / 520052

GCD(949, 548) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 819

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

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

GCD(1, 819) = 819 / 819

GCD(1, 819) = 1

GCD of 949, 548, 15, 819 is 1

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1. What is the GCD of 949, 548, 15, 819?

GCD of 949, 548, 15, 819 is 1

2. Where do I get the detailed procedure to find GCD of 949, 548, 15, 819?

You can find a detailed procedure to find GCD of 949, 548, 15, 819 on our page.

3. How to find GCD of 949, 548, 15, 819 on a calculator?

You can find the GCD of 949, 548, 15, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.