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, 856, 702, 712 i.e. 2 largest integer that divides all the numbers equally.
GCD of 978, 856, 702, 712 is 2
GCD(978, 856, 702, 712) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 978, 856, 702, 712 is 2
GCD(978, 856, 702, 712) = 2
Given Input numbers are 978, 856, 702, 712
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 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Greatest Common Divisior
We found the divisors of 978, 856, 702, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 856, 702, 712 is 2.
Therefore, GCD of numbers 978, 856, 702, 712 is 2
Given Input Data is 978, 856, 702, 712
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 856 is 2 x 2 x 2 x 107
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 712 is 2 x 2 x 2 x 89
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 856) = 418584
GCD(978, 856) = ( 978 x 856 ) / 418584
GCD(978, 856) = 837168 / 418584
GCD(978, 856) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
GCD(2, 702) = 1404 / 702
GCD(2, 702) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 712
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 712) = 712
GCD(2, 712) = ( 2 x 712 ) / 712
GCD(2, 712) = 1424 / 712
GCD(2, 712) = 2
GCD of 978, 856, 702, 712 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 978, 856, 702, 712?
GCD of 978, 856, 702, 712 is 2
2. Where do I get the detailed procedure to find GCD of 978, 856, 702, 712?
You can find a detailed procedure to find GCD of 978, 856, 702, 712 on our page.
3. How to find GCD of 978, 856, 702, 712 on a calculator?
You can find the GCD of 978, 856, 702, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.