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, 829, 35, 565 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 829, 35, 565 is 1
GCD(724, 829, 35, 565) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 829, 35, 565 is 1
GCD(724, 829, 35, 565) = 1
Given Input numbers are 724, 829, 35, 565
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 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Greatest Common Divisior
We found the divisors of 724, 829, 35, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 829, 35, 565 is 1.
Therefore, GCD of numbers 724, 829, 35, 565 is 1
Given Input Data is 724, 829, 35, 565
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 829 is 829
Prime Factorization of 35 is 5 x 7
Prime Factorization of 565 is 5 x 113
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, 829) = 600196
GCD(724, 829) = ( 724 x 829 ) / 600196
GCD(724, 829) = 600196 / 600196
GCD(724, 829) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 565
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 565) = 565
GCD(1, 565) = ( 1 x 565 ) / 565
GCD(1, 565) = 565 / 565
GCD(1, 565) = 1
GCD of 724, 829, 35, 565 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 829, 35, 565?
GCD of 724, 829, 35, 565 is 1
2. Where do I get the detailed procedure to find GCD of 724, 829, 35, 565?
You can find a detailed procedure to find GCD of 724, 829, 35, 565 on our page.
3. How to find GCD of 724, 829, 35, 565 on a calculator?
You can find the GCD of 724, 829, 35, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.