GCD of 986, 899, 745, 927 Calculator

Given Input numbers are 986, 899, 745, 927

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 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Greatest Common Divisior

We found the divisors of 986, 899, 745, 927 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 899, 745, 927 is 1.

Therefore, GCD of numbers 986, 899, 745, 927 is 1

Given Input Data is 986, 899, 745, 927

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 899 is 29 x 31

Prime Factorization of 745 is 5 x 149

Prime Factorization of 927 is 3 x 3 x 103

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, 899) = 30566

GCD(986, 899) = ( 986 x 899 ) / 30566

GCD(986, 899) = 886414 / 30566

GCD(986, 899) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 745

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

LCM(29, 745) = 21605

GCD(29, 745) = ( 29 x 745 ) / 21605

GCD(29, 745) = 21605 / 21605

GCD(29, 745) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 927

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

LCM(1, 927) = 927

GCD(1, 927) = ( 1 x 927 ) / 927

GCD(1, 927) = 927 / 927

GCD(1, 927) = 1

GCD of 986, 899, 745, 927 is 1

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1. What is the GCD of 986, 899, 745, 927?

GCD of 986, 899, 745, 927 is 1

2. Where do I get the detailed procedure to find GCD of 986, 899, 745, 927?

You can find a detailed procedure to find GCD of 986, 899, 745, 927 on our page.

3. How to find GCD of 986, 899, 745, 927 on a calculator?

You can find the GCD of 986, 899, 745, 927 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.