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, 517, 937, 954 i.e. 1 largest integer that divides all the numbers equally.
GCD of 143, 517, 937, 954 is 1
GCD(143, 517, 937, 954) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 143, 517, 937, 954 is 1
GCD(143, 517, 937, 954) = 1
Given Input numbers are 143, 517, 937, 954
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 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Divisors of 937
List of positive integer divisors of 937 that divides 937 without a remainder.
1, 937
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Greatest Common Divisior
We found the divisors of 143, 517, 937, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 517, 937, 954 is 1.
Therefore, GCD of numbers 143, 517, 937, 954 is 1
Given Input Data is 143, 517, 937, 954
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 143 is 11 x 13
Prime Factorization of 517 is 11 x 47
Prime Factorization of 937 is 937
Prime Factorization of 954 is 2 x 3 x 3 x 53
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, 517) = 6721
GCD(143, 517) = ( 143 x 517 ) / 6721
GCD(143, 517) = 73931 / 6721
GCD(143, 517) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 937
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 937) = 10307
GCD(11, 937) = ( 11 x 937 ) / 10307
GCD(11, 937) = 10307 / 10307
GCD(11, 937) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 954
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 954) = 954
GCD(1, 954) = ( 1 x 954 ) / 954
GCD(1, 954) = 954 / 954
GCD(1, 954) = 1
GCD of 143, 517, 937, 954 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 143, 517, 937, 954?
GCD of 143, 517, 937, 954 is 1
2. Where do I get the detailed procedure to find GCD of 143, 517, 937, 954?
You can find a detailed procedure to find GCD of 143, 517, 937, 954 on our page.
3. How to find GCD of 143, 517, 937, 954 on a calculator?
You can find the GCD of 143, 517, 937, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.