GCD of 539, 745, 65, 986 Calculator

Given Input numbers are 539, 745, 65, 986

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

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 745

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

1, 5, 149, 745

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 986

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

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

Greatest Common Divisior

We found the divisors of 539, 745, 65, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 539, 745, 65, 986 is 1.

Therefore, GCD of numbers 539, 745, 65, 986 is 1

Given Input Data is 539, 745, 65, 986

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

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 745 is 5 x 149

Prime Factorization of 65 is 5 x 13

Prime Factorization of 986 is 2 x 17 x 29

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(539, 745) = 401555

GCD(539, 745) = ( 539 x 745 ) / 401555

GCD(539, 745) = 401555 / 401555

GCD(539, 745) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 539, 745, 65, 986 is 1

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1. What is the GCD of 539, 745, 65, 986?

GCD of 539, 745, 65, 986 is 1

2. Where do I get the detailed procedure to find GCD of 539, 745, 65, 986?

You can find a detailed procedure to find GCD of 539, 745, 65, 986 on our page.

3. How to find GCD of 539, 745, 65, 986 on a calculator?

You can find the GCD of 539, 745, 65, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.