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 322, 251, 65, 978 i.e. 1 largest integer that divides all the numbers equally.
GCD of 322, 251, 65, 978 is 1
GCD(322, 251, 65, 978) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 322, 251, 65, 978 is 1
GCD(322, 251, 65, 978) = 1
Given Input numbers are 322, 251, 65, 978
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Greatest Common Divisior
We found the divisors of 322, 251, 65, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 251, 65, 978 is 1.
Therefore, GCD of numbers 322, 251, 65, 978 is 1
Given Input Data is 322, 251, 65, 978
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 251 is 251
Prime Factorization of 65 is 5 x 13
Prime Factorization of 978 is 2 x 3 x 163
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(322, 251) = 80822
GCD(322, 251) = ( 322 x 251 ) / 80822
GCD(322, 251) = 80822 / 80822
GCD(322, 251) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 65) = 65
GCD(1, 65) = ( 1 x 65 ) / 65
GCD(1, 65) = 65 / 65
GCD(1, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 978
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 978) = 978
GCD(1, 978) = ( 1 x 978 ) / 978
GCD(1, 978) = 978 / 978
GCD(1, 978) = 1
GCD of 322, 251, 65, 978 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 322, 251, 65, 978?
GCD of 322, 251, 65, 978 is 1
2. Where do I get the detailed procedure to find GCD of 322, 251, 65, 978?
You can find a detailed procedure to find GCD of 322, 251, 65, 978 on our page.
3. How to find GCD of 322, 251, 65, 978 on a calculator?
You can find the GCD of 322, 251, 65, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.