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, 826, 536, 121 i.e. 1 largest integer that divides all the numbers equally.
GCD of 78, 826, 536, 121 is 1
GCD(78, 826, 536, 121) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 78, 826, 536, 121 is 1
GCD(78, 826, 536, 121) = 1
Given Input numbers are 78, 826, 536, 121
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 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Greatest Common Divisior
We found the divisors of 78, 826, 536, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 826, 536, 121 is 1.
Therefore, GCD of numbers 78, 826, 536, 121 is 1
Given Input Data is 78, 826, 536, 121
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 826 is 2 x 7 x 59
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 121 is 11 x 11
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, 826) = 32214
GCD(78, 826) = ( 78 x 826 ) / 32214
GCD(78, 826) = 64428 / 32214
GCD(78, 826) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 536) = 536
GCD(2, 536) = ( 2 x 536 ) / 536
GCD(2, 536) = 1072 / 536
GCD(2, 536) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 121) = 242
GCD(2, 121) = ( 2 x 121 ) / 242
GCD(2, 121) = 242 / 242
GCD(2, 121) = 1
GCD of 78, 826, 536, 121 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 78, 826, 536, 121?
GCD of 78, 826, 536, 121 is 1
2. Where do I get the detailed procedure to find GCD of 78, 826, 536, 121?
You can find a detailed procedure to find GCD of 78, 826, 536, 121 on our page.
3. How to find GCD of 78, 826, 536, 121 on a calculator?
You can find the GCD of 78, 826, 536, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.