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 861, 202, 17, 677 i.e. 1 largest integer that divides all the numbers equally.
GCD of 861, 202, 17, 677 is 1
GCD(861, 202, 17, 677) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 861, 202, 17, 677 is 1
GCD(861, 202, 17, 677) = 1
Given Input numbers are 861, 202, 17, 677
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
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 861, 202, 17, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 202, 17, 677 is 1.
Therefore, GCD of numbers 861, 202, 17, 677 is 1
Given Input Data is 861, 202, 17, 677
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 202 is 2 x 101
Prime Factorization of 17 is 17
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(861, 202) = 173922
GCD(861, 202) = ( 861 x 202 ) / 173922
GCD(861, 202) = 173922 / 173922
GCD(861, 202) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 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 861, 202, 17, 677 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 861, 202, 17, 677?
GCD of 861, 202, 17, 677 is 1
2. Where do I get the detailed procedure to find GCD of 861, 202, 17, 677?
You can find a detailed procedure to find GCD of 861, 202, 17, 677 on our page.
3. How to find GCD of 861, 202, 17, 677 on a calculator?
You can find the GCD of 861, 202, 17, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.