GCD of 833, 959, 820, 492 Calculator

Given Input numbers are 833, 959, 820, 492

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

Divisors of 833

List of positive integer divisors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 833, 959, 820, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 833, 959, 820, 492 is 1.

Therefore, GCD of numbers 833, 959, 820, 492 is 1

Given Input Data is 833, 959, 820, 492

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

Prime Factorization of 833 is 7 x 7 x 17

Prime Factorization of 959 is 7 x 137

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 492 is 2 x 2 x 3 x 41

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(833, 959) = 114121

GCD(833, 959) = ( 833 x 959 ) / 114121

GCD(833, 959) = 798847 / 114121

GCD(833, 959) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 820

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

LCM(7, 820) = 5740

GCD(7, 820) = ( 7 x 820 ) / 5740

GCD(7, 820) = 5740 / 5740

GCD(7, 820) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 1

GCD of 833, 959, 820, 492 is 1

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1. What is the GCD of 833, 959, 820, 492?

GCD of 833, 959, 820, 492 is 1

2. Where do I get the detailed procedure to find GCD of 833, 959, 820, 492?

You can find a detailed procedure to find GCD of 833, 959, 820, 492 on our page.

3. How to find GCD of 833, 959, 820, 492 on a calculator?

You can find the GCD of 833, 959, 820, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.