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, 206, 146, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 716, 206, 146, 491 is 1
GCD(716, 206, 146, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 716, 206, 146, 491 is 1
GCD(716, 206, 146, 491) = 1
Given Input numbers are 716, 206, 146, 491
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 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 716, 206, 146, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 206, 146, 491 is 1.
Therefore, GCD of numbers 716, 206, 146, 491 is 1
Given Input Data is 716, 206, 146, 491
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 206 is 2 x 103
Prime Factorization of 146 is 2 x 73
Prime Factorization of 491 is 491
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, 206) = 73748
GCD(716, 206) = ( 716 x 206 ) / 73748
GCD(716, 206) = 147496 / 73748
GCD(716, 206) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 146) = 146
GCD(2, 146) = ( 2 x 146 ) / 146
GCD(2, 146) = 292 / 146
GCD(2, 146) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 491) = 982
GCD(2, 491) = ( 2 x 491 ) / 982
GCD(2, 491) = 982 / 982
GCD(2, 491) = 1
GCD of 716, 206, 146, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 716, 206, 146, 491?
GCD of 716, 206, 146, 491 is 1
2. Where do I get the detailed procedure to find GCD of 716, 206, 146, 491?
You can find a detailed procedure to find GCD of 716, 206, 146, 491 on our page.
3. How to find GCD of 716, 206, 146, 491 on a calculator?
You can find the GCD of 716, 206, 146, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.