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 807, 217, 517, 442 i.e. 1 largest integer that divides all the numbers equally.
GCD of 807, 217, 517, 442 is 1
GCD(807, 217, 517, 442) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 807, 217, 517, 442 is 1
GCD(807, 217, 517, 442) = 1
Given Input numbers are 807, 217, 517, 442
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Greatest Common Divisior
We found the divisors of 807, 217, 517, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 217, 517, 442 is 1.
Therefore, GCD of numbers 807, 217, 517, 442 is 1
Given Input Data is 807, 217, 517, 442
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 807 is 3 x 269
Prime Factorization of 217 is 7 x 31
Prime Factorization of 517 is 11 x 47
Prime Factorization of 442 is 2 x 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(807, 217) = 175119
GCD(807, 217) = ( 807 x 217 ) / 175119
GCD(807, 217) = 175119 / 175119
GCD(807, 217) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 517
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 517) = 517
GCD(1, 517) = ( 1 x 517 ) / 517
GCD(1, 517) = 517 / 517
GCD(1, 517) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
GCD(1, 442) = 442 / 442
GCD(1, 442) = 1
GCD of 807, 217, 517, 442 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 807, 217, 517, 442?
GCD of 807, 217, 517, 442 is 1
2. Where do I get the detailed procedure to find GCD of 807, 217, 517, 442?
You can find a detailed procedure to find GCD of 807, 217, 517, 442 on our page.
3. How to find GCD of 807, 217, 517, 442 on a calculator?
You can find the GCD of 807, 217, 517, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.