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 837, 992, 978 i.e. 1 largest integer that divides all the numbers equally.
GCD of 837, 992, 978 is 1
GCD(837, 992, 978) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 837, 992, 978 is 1
GCD(837, 992, 978) = 1
Given Input numbers are 837, 992, 978
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
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
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 837, 992, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 837, 992, 978 is 1.
Therefore, GCD of numbers 837, 992, 978 is 1
Given Input Data is 837, 992, 978
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
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(837, 992) = 26784
GCD(837, 992) = ( 837 x 992 ) / 26784
GCD(837, 992) = 830304 / 26784
GCD(837, 992) = 31
Step2:
Here we consider the GCD from the above i.e. 31 as first number and the next as 978
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(31, 978) = 30318
GCD(31, 978) = ( 31 x 978 ) / 30318
GCD(31, 978) = 30318 / 30318
GCD(31, 978) = 1
GCD of 837, 992, 978 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 837, 992, 978?
GCD of 837, 992, 978 is 1
2. Where do I get the detailed procedure to find GCD of 837, 992, 978?
You can find a detailed procedure to find GCD of 837, 992, 978 on our page.
3. How to find GCD of 837, 992, 978 on a calculator?
You can find the GCD of 837, 992, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.