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 309, 217, 87, 922 i.e. 1 largest integer that divides all the numbers equally.
GCD of 309, 217, 87, 922 is 1
GCD(309, 217, 87, 922) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 309, 217, 87, 922 is 1
GCD(309, 217, 87, 922) = 1
Given Input numbers are 309, 217, 87, 922
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Greatest Common Divisior
We found the divisors of 309, 217, 87, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 217, 87, 922 is 1.
Therefore, GCD of numbers 309, 217, 87, 922 is 1
Given Input Data is 309, 217, 87, 922
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 309 is 3 x 103
Prime Factorization of 217 is 7 x 31
Prime Factorization of 87 is 3 x 29
Prime Factorization of 922 is 2 x 461
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(309, 217) = 67053
GCD(309, 217) = ( 309 x 217 ) / 67053
GCD(309, 217) = 67053 / 67053
GCD(309, 217) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 87) = 87
GCD(1, 87) = ( 1 x 87 ) / 87
GCD(1, 87) = 87 / 87
GCD(1, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 922
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 922) = 922
GCD(1, 922) = ( 1 x 922 ) / 922
GCD(1, 922) = 922 / 922
GCD(1, 922) = 1
GCD of 309, 217, 87, 922 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 309, 217, 87, 922?
GCD of 309, 217, 87, 922 is 1
2. Where do I get the detailed procedure to find GCD of 309, 217, 87, 922?
You can find a detailed procedure to find GCD of 309, 217, 87, 922 on our page.
3. How to find GCD of 309, 217, 87, 922 on a calculator?
You can find the GCD of 309, 217, 87, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.