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 724, 789, 149, 997 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 789, 149, 997 is 1
GCD(724, 789, 149, 997) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 789, 149, 997 is 1
GCD(724, 789, 149, 997) = 1
Given Input numbers are 724, 789, 149, 997
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Greatest Common Divisior
We found the divisors of 724, 789, 149, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 789, 149, 997 is 1.
Therefore, GCD of numbers 724, 789, 149, 997 is 1
Given Input Data is 724, 789, 149, 997
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 789 is 3 x 263
Prime Factorization of 149 is 149
Prime Factorization of 997 is 997
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(724, 789) = 571236
GCD(724, 789) = ( 724 x 789 ) / 571236
GCD(724, 789) = 571236 / 571236
GCD(724, 789) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
GCD(1, 149) = 149 / 149
GCD(1, 149) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
GCD(1, 997) = 997 / 997
GCD(1, 997) = 1
GCD of 724, 789, 149, 997 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 789, 149, 997?
GCD of 724, 789, 149, 997 is 1
2. Where do I get the detailed procedure to find GCD of 724, 789, 149, 997?
You can find a detailed procedure to find GCD of 724, 789, 149, 997 on our page.
3. How to find GCD of 724, 789, 149, 997 on a calculator?
You can find the GCD of 724, 789, 149, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.