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 78, 848, 105, 602 i.e. 1 largest integer that divides all the numbers equally.
GCD of 78, 848, 105, 602 is 1
GCD(78, 848, 105, 602) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 78, 848, 105, 602 is 1
GCD(78, 848, 105, 602) = 1
Given Input numbers are 78, 848, 105, 602
To find the GCD of numbers using factoring list out all the divisors of each number
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 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 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Greatest Common Divisior
We found the divisors of 78, 848, 105, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 848, 105, 602 is 1.
Therefore, GCD of numbers 78, 848, 105, 602 is 1
Given Input Data is 78, 848, 105, 602
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 602 is 2 x 7 x 43
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(78, 848) = 33072
GCD(78, 848) = ( 78 x 848 ) / 33072
GCD(78, 848) = 66144 / 33072
GCD(78, 848) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 105
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 105) = 210
GCD(2, 105) = ( 2 x 105 ) / 210
GCD(2, 105) = 210 / 210
GCD(2, 105) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 602
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 602) = 602
GCD(1, 602) = ( 1 x 602 ) / 602
GCD(1, 602) = 602 / 602
GCD(1, 602) = 1
GCD of 78, 848, 105, 602 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 78, 848, 105, 602?
GCD of 78, 848, 105, 602 is 1
2. Where do I get the detailed procedure to find GCD of 78, 848, 105, 602?
You can find a detailed procedure to find GCD of 78, 848, 105, 602 on our page.
3. How to find GCD of 78, 848, 105, 602 on a calculator?
You can find the GCD of 78, 848, 105, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.