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 848, 772, 78, 985 i.e. 1 largest integer that divides all the numbers equally.
GCD of 848, 772, 78, 985 is 1
GCD(848, 772, 78, 985) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 848, 772, 78, 985 is 1
GCD(848, 772, 78, 985) = 1
Given Input numbers are 848, 772, 78, 985
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Greatest Common Divisior
We found the divisors of 848, 772, 78, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 772, 78, 985 is 1.
Therefore, GCD of numbers 848, 772, 78, 985 is 1
Given Input Data is 848, 772, 78, 985
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 985 is 5 x 197
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(848, 772) = 163664
GCD(848, 772) = ( 848 x 772 ) / 163664
GCD(848, 772) = 654656 / 163664
GCD(848, 772) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 78) = 156
GCD(4, 78) = ( 4 x 78 ) / 156
GCD(4, 78) = 312 / 156
GCD(4, 78) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 985
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 985) = 1970
GCD(2, 985) = ( 2 x 985 ) / 1970
GCD(2, 985) = 1970 / 1970
GCD(2, 985) = 1
GCD of 848, 772, 78, 985 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 848, 772, 78, 985?
GCD of 848, 772, 78, 985 is 1
2. Where do I get the detailed procedure to find GCD of 848, 772, 78, 985?
You can find a detailed procedure to find GCD of 848, 772, 78, 985 on our page.
3. How to find GCD of 848, 772, 78, 985 on a calculator?
You can find the GCD of 848, 772, 78, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.