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, 533, 123, 116 i.e. 1 largest integer that divides all the numbers equally.
GCD of 143, 533, 123, 116 is 1
GCD(143, 533, 123, 116) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 143, 533, 123, 116 is 1
GCD(143, 533, 123, 116) = 1
Given Input numbers are 143, 533, 123, 116
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 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Greatest Common Divisior
We found the divisors of 143, 533, 123, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 533, 123, 116 is 1.
Therefore, GCD of numbers 143, 533, 123, 116 is 1
Given Input Data is 143, 533, 123, 116
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 143 is 11 x 13
Prime Factorization of 533 is 13 x 41
Prime Factorization of 123 is 3 x 41
Prime Factorization of 116 is 2 x 2 x 29
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, 533) = 5863
GCD(143, 533) = ( 143 x 533 ) / 5863
GCD(143, 533) = 76219 / 5863
GCD(143, 533) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 123) = 1599
GCD(13, 123) = ( 13 x 123 ) / 1599
GCD(13, 123) = 1599 / 1599
GCD(13, 123) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
GCD of 143, 533, 123, 116 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 143, 533, 123, 116?
GCD of 143, 533, 123, 116 is 1
2. Where do I get the detailed procedure to find GCD of 143, 533, 123, 116?
You can find a detailed procedure to find GCD of 143, 533, 123, 116 on our page.
3. How to find GCD of 143, 533, 123, 116 on a calculator?
You can find the GCD of 143, 533, 123, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.