GCD of 536, 986, 71, 408 Calculator

Given Input numbers are 536, 986, 71, 408

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

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

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 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 536, 986, 71, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 986, 71, 408 is 1.

Therefore, GCD of numbers 536, 986, 71, 408 is 1

Given Input Data is 536, 986, 71, 408

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

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 71 is 71

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(536, 986) = 264248

GCD(536, 986) = ( 536 x 986 ) / 264248

GCD(536, 986) = 528496 / 264248

GCD(536, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 536, 986, 71, 408 is 1

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1. What is the GCD of 536, 986, 71, 408?

GCD of 536, 986, 71, 408 is 1

2. Where do I get the detailed procedure to find GCD of 536, 986, 71, 408?

You can find a detailed procedure to find GCD of 536, 986, 71, 408 on our page.

3. How to find GCD of 536, 986, 71, 408 on a calculator?

You can find the GCD of 536, 986, 71, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.