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, 468, 631, 143 i.e. 1 largest integer that divides all the numbers equally.
GCD of 675, 468, 631, 143 is 1
GCD(675, 468, 631, 143) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 675, 468, 631, 143 is 1
GCD(675, 468, 631, 143) = 1
Given Input numbers are 675, 468, 631, 143
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 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Greatest Common Divisior
We found the divisors of 675, 468, 631, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 468, 631, 143 is 1.
Therefore, GCD of numbers 675, 468, 631, 143 is 1
Given Input Data is 675, 468, 631, 143
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 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 631 is 631
Prime Factorization of 143 is 11 x 13
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, 468) = 35100
GCD(675, 468) = ( 675 x 468 ) / 35100
GCD(675, 468) = 315900 / 35100
GCD(675, 468) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 631) = 5679
GCD(9, 631) = ( 9 x 631 ) / 5679
GCD(9, 631) = 5679 / 5679
GCD(9, 631) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 143) = 143
GCD(1, 143) = ( 1 x 143 ) / 143
GCD(1, 143) = 143 / 143
GCD(1, 143) = 1
GCD of 675, 468, 631, 143 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 675, 468, 631, 143?
GCD of 675, 468, 631, 143 is 1
2. Where do I get the detailed procedure to find GCD of 675, 468, 631, 143?
You can find a detailed procedure to find GCD of 675, 468, 631, 143 on our page.
3. How to find GCD of 675, 468, 631, 143 on a calculator?
You can find the GCD of 675, 468, 631, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.