GCD of 104, 724, 994, 355 Calculator

Given Input numbers are 104, 724, 994, 355

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 104, 724, 994, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 724, 994, 355 is 1.

Therefore, GCD of numbers 104, 724, 994, 355 is 1

Given Input Data is 104, 724, 994, 355

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 355 is 5 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(104, 724) = 18824

GCD(104, 724) = ( 104 x 724 ) / 18824

GCD(104, 724) = 75296 / 18824

GCD(104, 724) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 994

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

LCM(4, 994) = 1988

GCD(4, 994) = ( 4 x 994 ) / 1988

GCD(4, 994) = 3976 / 1988

GCD(4, 994) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 355

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

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

GCD(2, 355) = 710 / 710

GCD(2, 355) = 1

GCD of 104, 724, 994, 355 is 1

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• GCD of 739, 792, 720, 964
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1. What is the GCD of 104, 724, 994, 355?

GCD of 104, 724, 994, 355 is 1

2. Where do I get the detailed procedure to find GCD of 104, 724, 994, 355?

You can find a detailed procedure to find GCD of 104, 724, 994, 355 on our page.

3. How to find GCD of 104, 724, 994, 355 on a calculator?

You can find the GCD of 104, 724, 994, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.