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 716, 165, 824, 577 i.e. 1 largest integer that divides all the numbers equally.
GCD of 716, 165, 824, 577 is 1
GCD(716, 165, 824, 577) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 716, 165, 824, 577 is 1
GCD(716, 165, 824, 577) = 1
Given Input numbers are 716, 165, 824, 577
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Greatest Common Divisior
We found the divisors of 716, 165, 824, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 165, 824, 577 is 1.
Therefore, GCD of numbers 716, 165, 824, 577 is 1
Given Input Data is 716, 165, 824, 577
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 577 is 577
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(716, 165) = 118140
GCD(716, 165) = ( 716 x 165 ) / 118140
GCD(716, 165) = 118140 / 118140
GCD(716, 165) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
GCD(1, 824) = 824 / 824
GCD(1, 824) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 577
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 577) = 577
GCD(1, 577) = ( 1 x 577 ) / 577
GCD(1, 577) = 577 / 577
GCD(1, 577) = 1
GCD of 716, 165, 824, 577 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 716, 165, 824, 577?
GCD of 716, 165, 824, 577 is 1
2. Where do I get the detailed procedure to find GCD of 716, 165, 824, 577?
You can find a detailed procedure to find GCD of 716, 165, 824, 577 on our page.
3. How to find GCD of 716, 165, 824, 577 on a calculator?
You can find the GCD of 716, 165, 824, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.