GCD of 742, 517, 304, 983 Calculator

Given Input numbers are 742, 517, 304, 983

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Greatest Common Divisior

We found the divisors of 742, 517, 304, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 517, 304, 983 is 1.

Therefore, GCD of numbers 742, 517, 304, 983 is 1

Given Input Data is 742, 517, 304, 983

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 517 is 11 x 47

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 983 is 983

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(742, 517) = 383614

GCD(742, 517) = ( 742 x 517 ) / 383614

GCD(742, 517) = 383614 / 383614

GCD(742, 517) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

GCD of 742, 517, 304, 983 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 666, 141, 105, 998
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• GCD of 919, 580, 871, 515
• GCD of 572, 593, 394, 371

1. What is the GCD of 742, 517, 304, 983?

GCD of 742, 517, 304, 983 is 1

2. Where do I get the detailed procedure to find GCD of 742, 517, 304, 983?

You can find a detailed procedure to find GCD of 742, 517, 304, 983 on our page.

3. How to find GCD of 742, 517, 304, 983 on a calculator?

You can find the GCD of 742, 517, 304, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.