GCD of 723, 772, 42, 113 Calculator

Given Input numbers are 723, 772, 42, 113

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 723, 772, 42, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 772, 42, 113 is 1.

Therefore, GCD of numbers 723, 772, 42, 113 is 1

Given Input Data is 723, 772, 42, 113

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 113 is 113

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(723, 772) = 558156

GCD(723, 772) = ( 723 x 772 ) / 558156

GCD(723, 772) = 558156 / 558156

GCD(723, 772) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

GCD of 723, 772, 42, 113 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 762, 31, 377
• GCD of 857, 503, 90, 136
• GCD of 360, 532, 18, 210
• GCD of 297, 565, 75, 194
• GCD of 347, 361, 75, 200

1. What is the GCD of 723, 772, 42, 113?

GCD of 723, 772, 42, 113 is 1

2. Where do I get the detailed procedure to find GCD of 723, 772, 42, 113?

You can find a detailed procedure to find GCD of 723, 772, 42, 113 on our page.

3. How to find GCD of 723, 772, 42, 113 on a calculator?

You can find the GCD of 723, 772, 42, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.