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 95, 655, 677, 899 i.e. 1 largest integer that divides all the numbers equally.
GCD of 95, 655, 677, 899 is 1
GCD(95, 655, 677, 899) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 95, 655, 677, 899 is 1
GCD(95, 655, 677, 899) = 1
Given Input numbers are 95, 655, 677, 899
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
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 95, 655, 677, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 95, 655, 677, 899 is 1.
Therefore, GCD of numbers 95, 655, 677, 899 is 1
Given Input Data is 95, 655, 677, 899
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 95 is 5 x 19
Prime Factorization of 655 is 5 x 131
Prime Factorization of 677 is 677
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(95, 655) = 12445
GCD(95, 655) = ( 95 x 655 ) / 12445
GCD(95, 655) = 62225 / 12445
GCD(95, 655) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 677) = 3385
GCD(5, 677) = ( 5 x 677 ) / 3385
GCD(5, 677) = 3385 / 3385
GCD(5, 677) = 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 95, 655, 677, 899 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 95, 655, 677, 899?
GCD of 95, 655, 677, 899 is 1
2. Where do I get the detailed procedure to find GCD of 95, 655, 677, 899?
You can find a detailed procedure to find GCD of 95, 655, 677, 899 on our page.
3. How to find GCD of 95, 655, 677, 899 on a calculator?
You can find the GCD of 95, 655, 677, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.