GCD of 968, 498, 773, 306 Calculator

Given Input numbers are 968, 498, 773, 306

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

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 968, 498, 773, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 498, 773, 306 is 1.

Therefore, GCD of numbers 968, 498, 773, 306 is 1

Given Input Data is 968, 498, 773, 306

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 773 is 773

Prime Factorization of 306 is 2 x 3 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(968, 498) = 241032

GCD(968, 498) = ( 968 x 498 ) / 241032

GCD(968, 498) = 482064 / 241032

GCD(968, 498) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 773

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

LCM(2, 773) = 1546

GCD(2, 773) = ( 2 x 773 ) / 1546

GCD(2, 773) = 1546 / 1546

GCD(2, 773) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 968, 498, 773, 306 is 1

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1. What is the GCD of 968, 498, 773, 306?

GCD of 968, 498, 773, 306 is 1

2. Where do I get the detailed procedure to find GCD of 968, 498, 773, 306?

You can find a detailed procedure to find GCD of 968, 498, 773, 306 on our page.

3. How to find GCD of 968, 498, 773, 306 on a calculator?

You can find the GCD of 968, 498, 773, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.