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 677, 197, 71, 558 i.e. 1 largest integer that divides all the numbers equally.
GCD of 677, 197, 71, 558 is 1
GCD(677, 197, 71, 558) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 677, 197, 71, 558 is 1
GCD(677, 197, 71, 558) = 1
Given Input numbers are 677, 197, 71, 558
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Greatest Common Divisior
We found the divisors of 677, 197, 71, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 197, 71, 558 is 1.
Therefore, GCD of numbers 677, 197, 71, 558 is 1
Given Input Data is 677, 197, 71, 558
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 677 is 677
Prime Factorization of 197 is 197
Prime Factorization of 71 is 71
Prime Factorization of 558 is 2 x 3 x 3 x 31
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(677, 197) = 133369
GCD(677, 197) = ( 677 x 197 ) / 133369
GCD(677, 197) = 133369 / 133369
GCD(677, 197) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 558
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 558) = 558
GCD(1, 558) = ( 1 x 558 ) / 558
GCD(1, 558) = 558 / 558
GCD(1, 558) = 1
GCD of 677, 197, 71, 558 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 677, 197, 71, 558?
GCD of 677, 197, 71, 558 is 1
2. Where do I get the detailed procedure to find GCD of 677, 197, 71, 558?
You can find a detailed procedure to find GCD of 677, 197, 71, 558 on our page.
3. How to find GCD of 677, 197, 71, 558 on a calculator?
You can find the GCD of 677, 197, 71, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.