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 541, 398, 96, 724 i.e. 1 largest integer that divides all the numbers equally.
GCD of 541, 398, 96, 724 is 1
GCD(541, 398, 96, 724) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 541, 398, 96, 724 is 1
GCD(541, 398, 96, 724) = 1
Given Input numbers are 541, 398, 96, 724
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 541
List of positive integer divisors of 541 that divides 541 without a remainder.
1, 541
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Greatest Common Divisior
We found the divisors of 541, 398, 96, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 541, 398, 96, 724 is 1.
Therefore, GCD of numbers 541, 398, 96, 724 is 1
Given Input Data is 541, 398, 96, 724
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 541 is 541
Prime Factorization of 398 is 2 x 199
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 724 is 2 x 2 x 181
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(541, 398) = 215318
GCD(541, 398) = ( 541 x 398 ) / 215318
GCD(541, 398) = 215318 / 215318
GCD(541, 398) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 724
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
GCD(1, 724) = 724 / 724
GCD(1, 724) = 1
GCD of 541, 398, 96, 724 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 541, 398, 96, 724?
GCD of 541, 398, 96, 724 is 1
2. Where do I get the detailed procedure to find GCD of 541, 398, 96, 724?
You can find a detailed procedure to find GCD of 541, 398, 96, 724 on our page.
3. How to find GCD of 541, 398, 96, 724 on a calculator?
You can find the GCD of 541, 398, 96, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.