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 86, 985, 218, 677 i.e. 1 largest integer that divides all the numbers equally.
GCD of 86, 985, 218, 677 is 1
GCD(86, 985, 218, 677) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 86, 985, 218, 677 is 1
GCD(86, 985, 218, 677) = 1
Given Input numbers are 86, 985, 218, 677
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Greatest Common Divisior
We found the divisors of 86, 985, 218, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 985, 218, 677 is 1.
Therefore, GCD of numbers 86, 985, 218, 677 is 1
Given Input Data is 86, 985, 218, 677
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 86 is 2 x 43
Prime Factorization of 985 is 5 x 197
Prime Factorization of 218 is 2 x 109
Prime Factorization of 677 is 677
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(86, 985) = 84710
GCD(86, 985) = ( 86 x 985 ) / 84710
GCD(86, 985) = 84710 / 84710
GCD(86, 985) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
GCD(1, 218) = 218 / 218
GCD(1, 218) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 677) = 677
GCD(1, 677) = ( 1 x 677 ) / 677
GCD(1, 677) = 677 / 677
GCD(1, 677) = 1
GCD of 86, 985, 218, 677 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 86, 985, 218, 677?
GCD of 86, 985, 218, 677 is 1
2. Where do I get the detailed procedure to find GCD of 86, 985, 218, 677?
You can find a detailed procedure to find GCD of 86, 985, 218, 677 on our page.
3. How to find GCD of 86, 985, 218, 677 on a calculator?
You can find the GCD of 86, 985, 218, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.