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 143, 514, 882, 465 i.e. 1 largest integer that divides all the numbers equally.
GCD of 143, 514, 882, 465 is 1
GCD(143, 514, 882, 465) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 143, 514, 882, 465 is 1
GCD(143, 514, 882, 465) = 1
Given Input numbers are 143, 514, 882, 465
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Greatest Common Divisior
We found the divisors of 143, 514, 882, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 514, 882, 465 is 1.
Therefore, GCD of numbers 143, 514, 882, 465 is 1
Given Input Data is 143, 514, 882, 465
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 143 is 11 x 13
Prime Factorization of 514 is 2 x 257
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 465 is 3 x 5 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(143, 514) = 73502
GCD(143, 514) = ( 143 x 514 ) / 73502
GCD(143, 514) = 73502 / 73502
GCD(143, 514) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 882
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 882) = 882
GCD(1, 882) = ( 1 x 882 ) / 882
GCD(1, 882) = 882 / 882
GCD(1, 882) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 465
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 465) = 465
GCD(1, 465) = ( 1 x 465 ) / 465
GCD(1, 465) = 465 / 465
GCD(1, 465) = 1
GCD of 143, 514, 882, 465 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 143, 514, 882, 465?
GCD of 143, 514, 882, 465 is 1
2. Where do I get the detailed procedure to find GCD of 143, 514, 882, 465?
You can find a detailed procedure to find GCD of 143, 514, 882, 465 on our page.
3. How to find GCD of 143, 514, 882, 465 on a calculator?
You can find the GCD of 143, 514, 882, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.