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 978, 333, 96, 761 i.e. 1 largest integer that divides all the numbers equally.
GCD of 978, 333, 96, 761 is 1
GCD(978, 333, 96, 761) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 978, 333, 96, 761 is 1
GCD(978, 333, 96, 761) = 1
Given Input numbers are 978, 333, 96, 761
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Greatest Common Divisior
We found the divisors of 978, 333, 96, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 333, 96, 761 is 1.
Therefore, GCD of numbers 978, 333, 96, 761 is 1
Given Input Data is 978, 333, 96, 761
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 978 is 2 x 3 x 163
Prime Factorization of 333 is 3 x 3 x 37
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 761 is 761
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(978, 333) = 108558
GCD(978, 333) = ( 978 x 333 ) / 108558
GCD(978, 333) = 325674 / 108558
GCD(978, 333) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 96) = 96
GCD(3, 96) = ( 3 x 96 ) / 96
GCD(3, 96) = 288 / 96
GCD(3, 96) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 761
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 761) = 2283
GCD(3, 761) = ( 3 x 761 ) / 2283
GCD(3, 761) = 2283 / 2283
GCD(3, 761) = 1
GCD of 978, 333, 96, 761 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 978, 333, 96, 761?
GCD of 978, 333, 96, 761 is 1
2. Where do I get the detailed procedure to find GCD of 978, 333, 96, 761?
You can find a detailed procedure to find GCD of 978, 333, 96, 761 on our page.
3. How to find GCD of 978, 333, 96, 761 on a calculator?
You can find the GCD of 978, 333, 96, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.