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 675, 655, 831, 188 i.e. 1 largest integer that divides all the numbers equally.
GCD of 675, 655, 831, 188 is 1
GCD(675, 655, 831, 188) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 675, 655, 831, 188 is 1
GCD(675, 655, 831, 188) = 1
Given Input numbers are 675, 655, 831, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 675, 655, 831, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 655, 831, 188 is 1.
Therefore, GCD of numbers 675, 655, 831, 188 is 1
Given Input Data is 675, 655, 831, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 655 is 5 x 131
Prime Factorization of 831 is 3 x 277
Prime Factorization of 188 is 2 x 2 x 47
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(675, 655) = 88425
GCD(675, 655) = ( 675 x 655 ) / 88425
GCD(675, 655) = 442125 / 88425
GCD(675, 655) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 831
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 831) = 4155
GCD(5, 831) = ( 5 x 831 ) / 4155
GCD(5, 831) = 4155 / 4155
GCD(5, 831) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
GCD(1, 188) = 188 / 188
GCD(1, 188) = 1
GCD of 675, 655, 831, 188 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 675, 655, 831, 188?
GCD of 675, 655, 831, 188 is 1
2. Where do I get the detailed procedure to find GCD of 675, 655, 831, 188?
You can find a detailed procedure to find GCD of 675, 655, 831, 188 on our page.
3. How to find GCD of 675, 655, 831, 188 on a calculator?
You can find the GCD of 675, 655, 831, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.