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 312, 928, 63, 981 i.e. 1 largest integer that divides all the numbers equally.
GCD of 312, 928, 63, 981 is 1
GCD(312, 928, 63, 981) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 312, 928, 63, 981 is 1
GCD(312, 928, 63, 981) = 1
Given Input numbers are 312, 928, 63, 981
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Greatest Common Divisior
We found the divisors of 312, 928, 63, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 928, 63, 981 is 1.
Therefore, GCD of numbers 312, 928, 63, 981 is 1
Given Input Data is 312, 928, 63, 981
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 981 is 3 x 3 x 109
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(312, 928) = 36192
GCD(312, 928) = ( 312 x 928 ) / 36192
GCD(312, 928) = 289536 / 36192
GCD(312, 928) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 63) = 504
GCD(8, 63) = ( 8 x 63 ) / 504
GCD(8, 63) = 504 / 504
GCD(8, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 981
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 981) = 981
GCD(1, 981) = ( 1 x 981 ) / 981
GCD(1, 981) = 981 / 981
GCD(1, 981) = 1
GCD of 312, 928, 63, 981 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 312, 928, 63, 981?
GCD of 312, 928, 63, 981 is 1
2. Where do I get the detailed procedure to find GCD of 312, 928, 63, 981?
You can find a detailed procedure to find GCD of 312, 928, 63, 981 on our page.
3. How to find GCD of 312, 928, 63, 981 on a calculator?
You can find the GCD of 312, 928, 63, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.