GCD of 986, 308, 31, 577 Calculator

Given Input numbers are 986, 308, 31, 577

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 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 986, 308, 31, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 308, 31, 577 is 1.

Therefore, GCD of numbers 986, 308, 31, 577 is 1

Given Input Data is 986, 308, 31, 577

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 308 is 2 x 2 x 7 x 11

Prime Factorization of 31 is 31

Prime Factorization of 577 is 577

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, 308) = 151844

GCD(986, 308) = ( 986 x 308 ) / 151844

GCD(986, 308) = 303688 / 151844

GCD(986, 308) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 577

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

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

GCD(1, 577) = 577 / 577

GCD(1, 577) = 1

GCD of 986, 308, 31, 577 is 1

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• GCD of 704, 103, 46, 375
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1. What is the GCD of 986, 308, 31, 577?

GCD of 986, 308, 31, 577 is 1

2. Where do I get the detailed procedure to find GCD of 986, 308, 31, 577?

You can find a detailed procedure to find GCD of 986, 308, 31, 577 on our page.

3. How to find GCD of 986, 308, 31, 577 on a calculator?

You can find the GCD of 986, 308, 31, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.