GCD of 394, 742, 90, 617 Calculator

Given Input numbers are 394, 742, 90, 617

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

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 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 394, 742, 90, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 742, 90, 617 is 1.

Therefore, GCD of numbers 394, 742, 90, 617 is 1

Given Input Data is 394, 742, 90, 617

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 617 is 617

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(394, 742) = 146174

GCD(394, 742) = ( 394 x 742 ) / 146174

GCD(394, 742) = 292348 / 146174

GCD(394, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 617

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

LCM(2, 617) = 1234

GCD(2, 617) = ( 2 x 617 ) / 1234

GCD(2, 617) = 1234 / 1234

GCD(2, 617) = 1

GCD of 394, 742, 90, 617 is 1

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• GCD of 371, 411, 36, 757
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1. What is the GCD of 394, 742, 90, 617?

GCD of 394, 742, 90, 617 is 1

2. Where do I get the detailed procedure to find GCD of 394, 742, 90, 617?

You can find a detailed procedure to find GCD of 394, 742, 90, 617 on our page.

3. How to find GCD of 394, 742, 90, 617 on a calculator?

You can find the GCD of 394, 742, 90, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.