GCD of 59, 923, 743, 987 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 59, 923, 743, 987 i.e. 1 largest integer that divides all the numbers equally.

GCD of 59, 923, 743, 987 is 1

GCD(59, 923, 743, 987) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 59, 923, 743, 987 is 1

GCD(59, 923, 743, 987) = 1

GCD of 59,923,743,987 Calculator

GCDof 59,923,743,987 is 1

Given Input numbers are 59, 923, 743, 987

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 923

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

1, 13, 71, 923

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 59, 923, 743, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 923, 743, 987 is 1.

Therefore, GCD of numbers 59, 923, 743, 987 is 1

Finding GCD of 59, 923, 743, 987 using Prime Factorization

Given Input Data is 59, 923, 743, 987

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

Prime Factorization of 59 is 59

Prime Factorization of 923 is 13 x 71

Prime Factorization of 743 is 743

Prime Factorization of 987 is 3 x 7 x 47

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 59, 923, 743, 987 using LCM Formula

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(59, 923) = 54457

GCD(59, 923) = ( 59 x 923 ) / 54457

GCD(59, 923) = 54457 / 54457

GCD(59, 923) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 59, 923, 743, 987 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 59, 923, 743, 987

1. What is the GCD of 59, 923, 743, 987?

GCD of 59, 923, 743, 987 is 1


2. Where do I get the detailed procedure to find GCD of 59, 923, 743, 987?

You can find a detailed procedure to find GCD of 59, 923, 743, 987 on our page.


3. How to find GCD of 59, 923, 743, 987 on a calculator?

You can find the GCD of 59, 923, 743, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.