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, 491, 112, 716 i.e. 1 largest integer that divides all the numbers equally.
GCD of 821, 491, 112, 716 is 1
GCD(821, 491, 112, 716) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 821, 491, 112, 716 is 1
GCD(821, 491, 112, 716) = 1
Given Input numbers are 821, 491, 112, 716
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 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Greatest Common Divisior
We found the divisors of 821, 491, 112, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 491, 112, 716 is 1.
Therefore, GCD of numbers 821, 491, 112, 716 is 1
Given Input Data is 821, 491, 112, 716
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 821 is 821
Prime Factorization of 491 is 491
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 716 is 2 x 2 x 179
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, 491) = 403111
GCD(821, 491) = ( 821 x 491 ) / 403111
GCD(821, 491) = 403111 / 403111
GCD(821, 491) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
GCD(1, 112) = 112 / 112
GCD(1, 112) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 716
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 716) = 716
GCD(1, 716) = ( 1 x 716 ) / 716
GCD(1, 716) = 716 / 716
GCD(1, 716) = 1
GCD of 821, 491, 112, 716 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 821, 491, 112, 716?
GCD of 821, 491, 112, 716 is 1
2. Where do I get the detailed procedure to find GCD of 821, 491, 112, 716?
You can find a detailed procedure to find GCD of 821, 491, 112, 716 on our page.
3. How to find GCD of 821, 491, 112, 716 on a calculator?
You can find the GCD of 821, 491, 112, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.