GCD of 986, 194, 899, 652 Calculator

Given Input numbers are 986, 194, 899, 652

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 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 899

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

1, 29, 31, 899

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 986, 194, 899, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 194, 899, 652 is 1.

Therefore, GCD of numbers 986, 194, 899, 652 is 1

Given Input Data is 986, 194, 899, 652

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 194 is 2 x 97

Prime Factorization of 899 is 29 x 31

Prime Factorization of 652 is 2 x 2 x 163

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, 194) = 95642

GCD(986, 194) = ( 986 x 194 ) / 95642

GCD(986, 194) = 191284 / 95642

GCD(986, 194) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 652

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

LCM(1, 652) = 652

GCD(1, 652) = ( 1 x 652 ) / 652

GCD(1, 652) = 652 / 652

GCD(1, 652) = 1

GCD of 986, 194, 899, 652 is 1

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1. What is the GCD of 986, 194, 899, 652?

GCD of 986, 194, 899, 652 is 1

2. Where do I get the detailed procedure to find GCD of 986, 194, 899, 652?

You can find a detailed procedure to find GCD of 986, 194, 899, 652 on our page.

3. How to find GCD of 986, 194, 899, 652 on a calculator?

You can find the GCD of 986, 194, 899, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.