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, 564, 38, 958 i.e. 1 largest integer that divides all the numbers equally.
GCD of 143, 564, 38, 958 is 1
GCD(143, 564, 38, 958) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 143, 564, 38, 958 is 1
GCD(143, 564, 38, 958) = 1
Given Input numbers are 143, 564, 38, 958
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 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Greatest Common Divisior
We found the divisors of 143, 564, 38, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 564, 38, 958 is 1.
Therefore, GCD of numbers 143, 564, 38, 958 is 1
Given Input Data is 143, 564, 38, 958
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 143 is 11 x 13
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 38 is 2 x 19
Prime Factorization of 958 is 2 x 479
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, 564) = 80652
GCD(143, 564) = ( 143 x 564 ) / 80652
GCD(143, 564) = 80652 / 80652
GCD(143, 564) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 958
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 958) = 958
GCD(1, 958) = ( 1 x 958 ) / 958
GCD(1, 958) = 958 / 958
GCD(1, 958) = 1
GCD of 143, 564, 38, 958 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 143, 564, 38, 958?
GCD of 143, 564, 38, 958 is 1
2. Where do I get the detailed procedure to find GCD of 143, 564, 38, 958?
You can find a detailed procedure to find GCD of 143, 564, 38, 958 on our page.
3. How to find GCD of 143, 564, 38, 958 on a calculator?
You can find the GCD of 143, 564, 38, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.