GCD of 986, 908, 785, 270 Calculator

Given Input numbers are 986, 908, 785, 270

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 986, 908, 785, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 908, 785, 270 is 1.

Therefore, GCD of numbers 986, 908, 785, 270 is 1

Given Input Data is 986, 908, 785, 270

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 785 is 5 x 157

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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(986, 908) = 447644

GCD(986, 908) = ( 986 x 908 ) / 447644

GCD(986, 908) = 895288 / 447644

GCD(986, 908) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 785

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

LCM(2, 785) = 1570

GCD(2, 785) = ( 2 x 785 ) / 1570

GCD(2, 785) = 1570 / 1570

GCD(2, 785) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

GCD of 986, 908, 785, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 803, 146, 250
• GCD of 212, 247, 822, 864
• GCD of 337, 495, 693, 989
• GCD of 896, 726, 880, 716
• GCD of 563, 234, 177, 298

1. What is the GCD of 986, 908, 785, 270?

GCD of 986, 908, 785, 270 is 1

2. Where do I get the detailed procedure to find GCD of 986, 908, 785, 270?

You can find a detailed procedure to find GCD of 986, 908, 785, 270 on our page.

3. How to find GCD of 986, 908, 785, 270 on a calculator?

You can find the GCD of 986, 908, 785, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.