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 963, 801, 780, 992 i.e. 1 largest integer that divides all the numbers equally.
GCD of 963, 801, 780, 992 is 1
GCD(963, 801, 780, 992) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 963, 801, 780, 992 is 1
GCD(963, 801, 780, 992) = 1
Given Input numbers are 963, 801, 780, 992
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Greatest Common Divisior
We found the divisors of 963, 801, 780, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 801, 780, 992 is 1.
Therefore, GCD of numbers 963, 801, 780, 992 is 1
Given Input Data is 963, 801, 780, 992
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
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(963, 801) = 85707
GCD(963, 801) = ( 963 x 801 ) / 85707
GCD(963, 801) = 771363 / 85707
GCD(963, 801) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 780
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 780) = 2340
GCD(9, 780) = ( 9 x 780 ) / 2340
GCD(9, 780) = 7020 / 2340
GCD(9, 780) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 992
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 992) = 2976
GCD(3, 992) = ( 3 x 992 ) / 2976
GCD(3, 992) = 2976 / 2976
GCD(3, 992) = 1
GCD of 963, 801, 780, 992 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 963, 801, 780, 992?
GCD of 963, 801, 780, 992 is 1
2. Where do I get the detailed procedure to find GCD of 963, 801, 780, 992?
You can find a detailed procedure to find GCD of 963, 801, 780, 992 on our page.
3. How to find GCD of 963, 801, 780, 992 on a calculator?
You can find the GCD of 963, 801, 780, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.