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 105, 886, 77, 655 i.e. 1 largest integer that divides all the numbers equally.
GCD of 105, 886, 77, 655 is 1
GCD(105, 886, 77, 655) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 105, 886, 77, 655 is 1
GCD(105, 886, 77, 655) = 1
Given Input numbers are 105, 886, 77, 655
To find the GCD of numbers using factoring list out all the divisors of each number
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 886
List of positive integer divisors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Greatest Common Divisior
We found the divisors of 105, 886, 77, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 886, 77, 655 is 1.
Therefore, GCD of numbers 105, 886, 77, 655 is 1
Given Input Data is 105, 886, 77, 655
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 886 is 2 x 443
Prime Factorization of 77 is 7 x 11
Prime Factorization of 655 is 5 x 131
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(105, 886) = 93030
GCD(105, 886) = ( 105 x 886 ) / 93030
GCD(105, 886) = 93030 / 93030
GCD(105, 886) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 655
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 655) = 655
GCD(1, 655) = ( 1 x 655 ) / 655
GCD(1, 655) = 655 / 655
GCD(1, 655) = 1
GCD of 105, 886, 77, 655 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 105, 886, 77, 655?
GCD of 105, 886, 77, 655 is 1
2. Where do I get the detailed procedure to find GCD of 105, 886, 77, 655?
You can find a detailed procedure to find GCD of 105, 886, 77, 655 on our page.
3. How to find GCD of 105, 886, 77, 655 on a calculator?
You can find the GCD of 105, 886, 77, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.