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 65, 889, 346, 468 i.e. 1 largest integer that divides all the numbers equally.
GCD of 65, 889, 346, 468 is 1
GCD(65, 889, 346, 468) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 65, 889, 346, 468 is 1
GCD(65, 889, 346, 468) = 1
Given Input numbers are 65, 889, 346, 468
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Greatest Common Divisior
We found the divisors of 65, 889, 346, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 889, 346, 468 is 1.
Therefore, GCD of numbers 65, 889, 346, 468 is 1
Given Input Data is 65, 889, 346, 468
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 65 is 5 x 13
Prime Factorization of 889 is 7 x 127
Prime Factorization of 346 is 2 x 173
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
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(65, 889) = 57785
GCD(65, 889) = ( 65 x 889 ) / 57785
GCD(65, 889) = 57785 / 57785
GCD(65, 889) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
GCD of 65, 889, 346, 468 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 65, 889, 346, 468?
GCD of 65, 889, 346, 468 is 1
2. Where do I get the detailed procedure to find GCD of 65, 889, 346, 468?
You can find a detailed procedure to find GCD of 65, 889, 346, 468 on our page.
3. How to find GCD of 65, 889, 346, 468 on a calculator?
You can find the GCD of 65, 889, 346, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.