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 821, 716, 25, 673 i.e. 1 largest integer that divides all the numbers equally.
GCD of 821, 716, 25, 673 is 1
GCD(821, 716, 25, 673) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 821, 716, 25, 673 is 1
GCD(821, 716, 25, 673) = 1
Given Input numbers are 821, 716, 25, 673
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 673
List of positive integer divisors of 673 that divides 673 without a remainder.
1, 673
Greatest Common Divisior
We found the divisors of 821, 716, 25, 673 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 716, 25, 673 is 1.
Therefore, GCD of numbers 821, 716, 25, 673 is 1
Given Input Data is 821, 716, 25, 673
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 821 is 821
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 25 is 5 x 5
Prime Factorization of 673 is 673
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(821, 716) = 587836
GCD(821, 716) = ( 821 x 716 ) / 587836
GCD(821, 716) = 587836 / 587836
GCD(821, 716) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 673
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 673) = 673
GCD(1, 673) = ( 1 x 673 ) / 673
GCD(1, 673) = 673 / 673
GCD(1, 673) = 1
GCD of 821, 716, 25, 673 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 821, 716, 25, 673?
GCD of 821, 716, 25, 673 is 1
2. Where do I get the detailed procedure to find GCD of 821, 716, 25, 673?
You can find a detailed procedure to find GCD of 821, 716, 25, 673 on our page.
3. How to find GCD of 821, 716, 25, 673 on a calculator?
You can find the GCD of 821, 716, 25, 673 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.