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, 932, 89, 385 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 932, 89, 385 is 1
GCD(724, 932, 89, 385) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 932, 89, 385 is 1
GCD(724, 932, 89, 385) = 1
Given Input numbers are 724, 932, 89, 385
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 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 724, 932, 89, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 932, 89, 385 is 1.
Therefore, GCD of numbers 724, 932, 89, 385 is 1
Given Input Data is 724, 932, 89, 385
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 932 is 2 x 2 x 233
Prime Factorization of 89 is 89
Prime Factorization of 385 is 5 x 7 x 11
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, 932) = 168692
GCD(724, 932) = ( 724 x 932 ) / 168692
GCD(724, 932) = 674768 / 168692
GCD(724, 932) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 89) = 356
GCD(4, 89) = ( 4 x 89 ) / 356
GCD(4, 89) = 356 / 356
GCD(4, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
GCD of 724, 932, 89, 385 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 932, 89, 385?
GCD of 724, 932, 89, 385 is 1
2. Where do I get the detailed procedure to find GCD of 724, 932, 89, 385?
You can find a detailed procedure to find GCD of 724, 932, 89, 385 on our page.
3. How to find GCD of 724, 932, 89, 385 on a calculator?
You can find the GCD of 724, 932, 89, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.