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 69, 899, 922, 614 i.e. 1 largest integer that divides all the numbers equally.
GCD of 69, 899, 922, 614 is 1
GCD(69, 899, 922, 614) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 69, 899, 922, 614 is 1
GCD(69, 899, 922, 614) = 1
Given Input numbers are 69, 899, 922, 614
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Greatest Common Divisior
We found the divisors of 69, 899, 922, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 899, 922, 614 is 1.
Therefore, GCD of numbers 69, 899, 922, 614 is 1
Given Input Data is 69, 899, 922, 614
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 69 is 3 x 23
Prime Factorization of 899 is 29 x 31
Prime Factorization of 922 is 2 x 461
Prime Factorization of 614 is 2 x 307
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(69, 899) = 62031
GCD(69, 899) = ( 69 x 899 ) / 62031
GCD(69, 899) = 62031 / 62031
GCD(69, 899) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 614
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 614) = 614
GCD(1, 614) = ( 1 x 614 ) / 614
GCD(1, 614) = 614 / 614
GCD(1, 614) = 1
GCD of 69, 899, 922, 614 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 69, 899, 922, 614?
GCD of 69, 899, 922, 614 is 1
2. Where do I get the detailed procedure to find GCD of 69, 899, 922, 614?
You can find a detailed procedure to find GCD of 69, 899, 922, 614 on our page.
3. How to find GCD of 69, 899, 922, 614 on a calculator?
You can find the GCD of 69, 899, 922, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.