GCD of 123, 583, 74, 490 Calculator

Given Input numbers are 123, 583, 74, 490

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 123, 583, 74, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 583, 74, 490 is 1.

Therefore, GCD of numbers 123, 583, 74, 490 is 1

Given Input Data is 123, 583, 74, 490

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 583 is 11 x 53

Prime Factorization of 74 is 2 x 37

Prime Factorization of 490 is 2 x 5 x 7 x 7

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(123, 583) = 71709

GCD(123, 583) = ( 123 x 583 ) / 71709

GCD(123, 583) = 71709 / 71709

GCD(123, 583) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 123, 583, 74, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 570, 343, 77, 337
• GCD of 860, 222, 58, 283
• GCD of 108, 501, 37, 315
• GCD of 615, 903, 12, 468
• GCD of 642, 209, 73, 989

1. What is the GCD of 123, 583, 74, 490?

GCD of 123, 583, 74, 490 is 1

2. Where do I get the detailed procedure to find GCD of 123, 583, 74, 490?

You can find a detailed procedure to find GCD of 123, 583, 74, 490 on our page.

3. How to find GCD of 123, 583, 74, 490 on a calculator?

You can find the GCD of 123, 583, 74, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.