GCD of 986, 711, 86, 511 Calculator

Given Input numbers are 986, 711, 86, 511

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 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Greatest Common Divisior

We found the divisors of 986, 711, 86, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 711, 86, 511 is 1.

Therefore, GCD of numbers 986, 711, 86, 511 is 1

Given Input Data is 986, 711, 86, 511

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 711 is 3 x 3 x 79

Prime Factorization of 86 is 2 x 43

Prime Factorization of 511 is 7 x 73

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, 711) = 701046

GCD(986, 711) = ( 986 x 711 ) / 701046

GCD(986, 711) = 701046 / 701046

GCD(986, 711) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 511

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

LCM(1, 511) = 511

GCD(1, 511) = ( 1 x 511 ) / 511

GCD(1, 511) = 511 / 511

GCD(1, 511) = 1

GCD of 986, 711, 86, 511 is 1

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1. What is the GCD of 986, 711, 86, 511?

GCD of 986, 711, 86, 511 is 1

2. Where do I get the detailed procedure to find GCD of 986, 711, 86, 511?

You can find a detailed procedure to find GCD of 986, 711, 86, 511 on our page.

3. How to find GCD of 986, 711, 86, 511 on a calculator?

You can find the GCD of 986, 711, 86, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.