GCD of 742, 579, 123 Calculator

Given Input numbers are 742, 579, 123

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 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 123

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

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 742, 579, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 579, 123 is 1.

Therefore, GCD of numbers 742, 579, 123 is 1

Given Input Data is 742, 579, 123

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 579 is 3 x 193

Prime Factorization of 123 is 3 x 41

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, 579) = 429618

GCD(742, 579) = ( 742 x 579 ) / 429618

GCD(742, 579) = 429618 / 429618

GCD(742, 579) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 742, 579, 123 is 1

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1. What is the GCD of 742, 579, 123?

GCD of 742, 579, 123 is 1

2. Where do I get the detailed procedure to find GCD of 742, 579, 123?

You can find a detailed procedure to find GCD of 742, 579, 123 on our page.

3. How to find GCD of 742, 579, 123 on a calculator?

You can find the GCD of 742, 579, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.