GCD of 90, 230, 741, 658 Calculator

Given Input numbers are 90, 230, 741, 658

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

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 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 90, 230, 741, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 230, 741, 658 is 1.

Therefore, GCD of numbers 90, 230, 741, 658 is 1

Given Input Data is 90, 230, 741, 658

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

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 658 is 2 x 7 x 47

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(90, 230) = 2070

GCD(90, 230) = ( 90 x 230 ) / 2070

GCD(90, 230) = 20700 / 2070

GCD(90, 230) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 741

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

LCM(10, 741) = 7410

GCD(10, 741) = ( 10 x 741 ) / 7410

GCD(10, 741) = 7410 / 7410

GCD(10, 741) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

GCD of 90, 230, 741, 658 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 339, 789, 598
• GCD of 24, 599, 490, 924
• GCD of 36, 589, 881, 650
• GCD of 94, 675, 864, 245
• GCD of 30, 118, 930, 530

1. What is the GCD of 90, 230, 741, 658?

GCD of 90, 230, 741, 658 is 1

2. Where do I get the detailed procedure to find GCD of 90, 230, 741, 658?

You can find a detailed procedure to find GCD of 90, 230, 741, 658 on our page.

3. How to find GCD of 90, 230, 741, 658 on a calculator?

You can find the GCD of 90, 230, 741, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.