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 15, 978, 143, 933 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 978, 143, 933 is 1
GCD(15, 978, 143, 933) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 978, 143, 933 is 1
GCD(15, 978, 143, 933) = 1
Given Input numbers are 15, 978, 143, 933
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Greatest Common Divisior
We found the divisors of 15, 978, 143, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 978, 143, 933 is 1.
Therefore, GCD of numbers 15, 978, 143, 933 is 1
Given Input Data is 15, 978, 143, 933
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 978 is 2 x 3 x 163
Prime Factorization of 143 is 11 x 13
Prime Factorization of 933 is 3 x 311
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(15, 978) = 4890
GCD(15, 978) = ( 15 x 978 ) / 4890
GCD(15, 978) = 14670 / 4890
GCD(15, 978) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 143) = 429
GCD(3, 143) = ( 3 x 143 ) / 429
GCD(3, 143) = 429 / 429
GCD(3, 143) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 933
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 933) = 933
GCD(1, 933) = ( 1 x 933 ) / 933
GCD(1, 933) = 933 / 933
GCD(1, 933) = 1
GCD of 15, 978, 143, 933 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 978, 143, 933?
GCD of 15, 978, 143, 933 is 1
2. Where do I get the detailed procedure to find GCD of 15, 978, 143, 933?
You can find a detailed procedure to find GCD of 15, 978, 143, 933 on our page.
3. How to find GCD of 15, 978, 143, 933 on a calculator?
You can find the GCD of 15, 978, 143, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.