GCD of 986, 832, 50, 495 Calculator

Given Input numbers are 986, 832, 50, 495

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 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 986, 832, 50, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 832, 50, 495 is 1.

Therefore, GCD of numbers 986, 832, 50, 495 is 1

Given Input Data is 986, 832, 50, 495

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 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 495 is 3 x 3 x 5 x 11

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, 832) = 410176

GCD(986, 832) = ( 986 x 832 ) / 410176

GCD(986, 832) = 820352 / 410176

GCD(986, 832) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 495

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

LCM(2, 495) = 990

GCD(2, 495) = ( 2 x 495 ) / 990

GCD(2, 495) = 990 / 990

GCD(2, 495) = 1

GCD of 986, 832, 50, 495 is 1

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1. What is the GCD of 986, 832, 50, 495?

GCD of 986, 832, 50, 495 is 1

2. Where do I get the detailed procedure to find GCD of 986, 832, 50, 495?

You can find a detailed procedure to find GCD of 986, 832, 50, 495 on our page.

3. How to find GCD of 986, 832, 50, 495 on a calculator?

You can find the GCD of 986, 832, 50, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.