GCD of 742, 293, 99, 284 Calculator

Given Input numbers are 742, 293, 99, 284

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 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 742, 293, 99, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 293, 99, 284 is 1.

Therefore, GCD of numbers 742, 293, 99, 284 is 1

Given Input Data is 742, 293, 99, 284

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 293 is 293

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 284 is 2 x 2 x 71

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, 293) = 217406

GCD(742, 293) = ( 742 x 293 ) / 217406

GCD(742, 293) = 217406 / 217406

GCD(742, 293) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 742, 293, 99, 284 is 1

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1. What is the GCD of 742, 293, 99, 284?

GCD of 742, 293, 99, 284 is 1

2. Where do I get the detailed procedure to find GCD of 742, 293, 99, 284?

You can find a detailed procedure to find GCD of 742, 293, 99, 284 on our page.

3. How to find GCD of 742, 293, 99, 284 on a calculator?

You can find the GCD of 742, 293, 99, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.