GCD of 923, 721, 58, 120 Calculator

Given Input numbers are 923, 721, 58, 120

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

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 923, 721, 58, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 721, 58, 120 is 1.

Therefore, GCD of numbers 923, 721, 58, 120 is 1

Given Input Data is 923, 721, 58, 120

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

Prime Factorization of 923 is 13 x 71

Prime Factorization of 721 is 7 x 103

Prime Factorization of 58 is 2 x 29

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(923, 721) = 665483

GCD(923, 721) = ( 923 x 721 ) / 665483

GCD(923, 721) = 665483 / 665483

GCD(923, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 923, 721, 58, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 345, 92, 238
• GCD of 971, 690, 37, 397
• GCD of 512, 910, 30, 918
• GCD of 552, 855, 70, 943
• GCD of 465, 788, 56, 809

1. What is the GCD of 923, 721, 58, 120?

GCD of 923, 721, 58, 120 is 1

2. Where do I get the detailed procedure to find GCD of 923, 721, 58, 120?

You can find a detailed procedure to find GCD of 923, 721, 58, 120 on our page.

3. How to find GCD of 923, 721, 58, 120 on a calculator?

You can find the GCD of 923, 721, 58, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.