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 508, 787, 491, 221 i.e. 1 largest integer that divides all the numbers equally.
GCD of 508, 787, 491, 221 is 1
GCD(508, 787, 491, 221) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 508, 787, 491, 221 is 1
GCD(508, 787, 491, 221) = 1
Given Input numbers are 508, 787, 491, 221
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Greatest Common Divisior
We found the divisors of 508, 787, 491, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 787, 491, 221 is 1.
Therefore, GCD of numbers 508, 787, 491, 221 is 1
Given Input Data is 508, 787, 491, 221
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 787 is 787
Prime Factorization of 491 is 491
Prime Factorization of 221 is 13 x 17
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(508, 787) = 399796
GCD(508, 787) = ( 508 x 787 ) / 399796
GCD(508, 787) = 399796 / 399796
GCD(508, 787) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
GCD(1, 221) = 221 / 221
GCD(1, 221) = 1
GCD of 508, 787, 491, 221 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 508, 787, 491, 221?
GCD of 508, 787, 491, 221 is 1
2. Where do I get the detailed procedure to find GCD of 508, 787, 491, 221?
You can find a detailed procedure to find GCD of 508, 787, 491, 221 on our page.
3. How to find GCD of 508, 787, 491, 221 on a calculator?
You can find the GCD of 508, 787, 491, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.