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 77, 105, 152, 834 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 105, 152, 834 is 1
GCD(77, 105, 152, 834) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 105, 152, 834 is 1
GCD(77, 105, 152, 834) = 1
Given Input numbers are 77, 105, 152, 834
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
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 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Greatest Common Divisior
We found the divisors of 77, 105, 152, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 105, 152, 834 is 1.
Therefore, GCD of numbers 77, 105, 152, 834 is 1
Given Input Data is 77, 105, 152, 834
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 834 is 2 x 3 x 139
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(77, 105) = 1155
GCD(77, 105) = ( 77 x 105 ) / 1155
GCD(77, 105) = 8085 / 1155
GCD(77, 105) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 152) = 1064
GCD(7, 152) = ( 7 x 152 ) / 1064
GCD(7, 152) = 1064 / 1064
GCD(7, 152) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 834
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 834) = 834
GCD(1, 834) = ( 1 x 834 ) / 834
GCD(1, 834) = 834 / 834
GCD(1, 834) = 1
GCD of 77, 105, 152, 834 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 105, 152, 834?
GCD of 77, 105, 152, 834 is 1
2. Where do I get the detailed procedure to find GCD of 77, 105, 152, 834?
You can find a detailed procedure to find GCD of 77, 105, 152, 834 on our page.
3. How to find GCD of 77, 105, 152, 834 on a calculator?
You can find the GCD of 77, 105, 152, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.