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, 557, 99, 899 i.e. 1 largest integer that divides all the numbers equally.
GCD of 677, 557, 99, 899 is 1
GCD(677, 557, 99, 899) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 677, 557, 99, 899 is 1
GCD(677, 557, 99, 899) = 1
Given Input numbers are 677, 557, 99, 899
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 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Greatest Common Divisior
We found the divisors of 677, 557, 99, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 557, 99, 899 is 1.
Therefore, GCD of numbers 677, 557, 99, 899 is 1
Given Input Data is 677, 557, 99, 899
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 677 is 677
Prime Factorization of 557 is 557
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 899 is 29 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, 557) = 377089
GCD(677, 557) = ( 677 x 557 ) / 377089
GCD(677, 557) = 377089 / 377089
GCD(677, 557) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 899
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 899) = 899
GCD(1, 899) = ( 1 x 899 ) / 899
GCD(1, 899) = 899 / 899
GCD(1, 899) = 1
GCD of 677, 557, 99, 899 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 677, 557, 99, 899?
GCD of 677, 557, 99, 899 is 1
2. Where do I get the detailed procedure to find GCD of 677, 557, 99, 899?
You can find a detailed procedure to find GCD of 677, 557, 99, 899 on our page.
3. How to find GCD of 677, 557, 99, 899 on a calculator?
You can find the GCD of 677, 557, 99, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.