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, 921, 487, 968 i.e. 1 largest integer that divides all the numbers equally.
GCD of 978, 921, 487, 968 is 1
GCD(978, 921, 487, 968) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 978, 921, 487, 968 is 1
GCD(978, 921, 487, 968) = 1
Given Input numbers are 978, 921, 487, 968
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 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Greatest Common Divisior
We found the divisors of 978, 921, 487, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 921, 487, 968 is 1.
Therefore, GCD of numbers 978, 921, 487, 968 is 1
Given Input Data is 978, 921, 487, 968
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 921 is 3 x 307
Prime Factorization of 487 is 487
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
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, 921) = 300246
GCD(978, 921) = ( 978 x 921 ) / 300246
GCD(978, 921) = 900738 / 300246
GCD(978, 921) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 487
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 487) = 1461
GCD(3, 487) = ( 3 x 487 ) / 1461
GCD(3, 487) = 1461 / 1461
GCD(3, 487) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 968
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 968) = 968
GCD(1, 968) = ( 1 x 968 ) / 968
GCD(1, 968) = 968 / 968
GCD(1, 968) = 1
GCD of 978, 921, 487, 968 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 978, 921, 487, 968?
GCD of 978, 921, 487, 968 is 1
2. Where do I get the detailed procedure to find GCD of 978, 921, 487, 968?
You can find a detailed procedure to find GCD of 978, 921, 487, 968 on our page.
3. How to find GCD of 978, 921, 487, 968 on a calculator?
You can find the GCD of 978, 921, 487, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.