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 886, 718, 69, 114 i.e. 1 largest integer that divides all the numbers equally.
GCD of 886, 718, 69, 114 is 1
GCD(886, 718, 69, 114) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 886, 718, 69, 114 is 1
GCD(886, 718, 69, 114) = 1
Given Input numbers are 886, 718, 69, 114
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 886
List of positive integer divisors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Greatest Common Divisior
We found the divisors of 886, 718, 69, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 886, 718, 69, 114 is 1.
Therefore, GCD of numbers 886, 718, 69, 114 is 1
Given Input Data is 886, 718, 69, 114
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 886 is 2 x 443
Prime Factorization of 718 is 2 x 359
Prime Factorization of 69 is 3 x 23
Prime Factorization of 114 is 2 x 3 x 19
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(886, 718) = 318074
GCD(886, 718) = ( 886 x 718 ) / 318074
GCD(886, 718) = 636148 / 318074
GCD(886, 718) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 69) = 138
GCD(2, 69) = ( 2 x 69 ) / 138
GCD(2, 69) = 138 / 138
GCD(2, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 114
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
GCD(1, 114) = 114 / 114
GCD(1, 114) = 1
GCD of 886, 718, 69, 114 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 886, 718, 69, 114?
GCD of 886, 718, 69, 114 is 1
2. Where do I get the detailed procedure to find GCD of 886, 718, 69, 114?
You can find a detailed procedure to find GCD of 886, 718, 69, 114 on our page.
3. How to find GCD of 886, 718, 69, 114 on a calculator?
You can find the GCD of 886, 718, 69, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.