GCD of 15, 273, 919, 981 Calculator

Given Input numbers are 15, 273, 919, 981

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 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 919

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

1, 919

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 15, 273, 919, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 273, 919, 981 is 1.

Therefore, GCD of numbers 15, 273, 919, 981 is 1

Given Input Data is 15, 273, 919, 981

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 919 is 919

Prime Factorization of 981 is 3 x 3 x 109

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, 273) = 1365

GCD(15, 273) = ( 15 x 273 ) / 1365

GCD(15, 273) = 4095 / 1365

GCD(15, 273) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 919

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

LCM(3, 919) = 2757

GCD(3, 919) = ( 3 x 919 ) / 2757

GCD(3, 919) = 2757 / 2757

GCD(3, 919) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

GCD of 15, 273, 919, 981 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 210, 255, 783
• GCD of 84, 433, 968, 695
• GCD of 93, 810, 759, 633
• GCD of 27, 226, 715, 600
• GCD of 90, 835, 368, 585

1. What is the GCD of 15, 273, 919, 981?

GCD of 15, 273, 919, 981 is 1

2. Where do I get the detailed procedure to find GCD of 15, 273, 919, 981?

You can find a detailed procedure to find GCD of 15, 273, 919, 981 on our page.

3. How to find GCD of 15, 273, 919, 981 on a calculator?

You can find the GCD of 15, 273, 919, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.