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 numbers 59, 923, 743, 987 is 1
GCD(59, 923, 743, 987) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.