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 991, 172, 45, 543 i.e. 1 largest integer that divides all the numbers equally.
GCD of 991, 172, 45, 543 is 1
GCD(991, 172, 45, 543) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 991, 172, 45, 543 is 1
GCD(991, 172, 45, 543) = 1
Given Input numbers are 991, 172, 45, 543
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Greatest Common Divisior
We found the divisors of 991, 172, 45, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 172, 45, 543 is 1.
Therefore, GCD of numbers 991, 172, 45, 543 is 1
Given Input Data is 991, 172, 45, 543
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 991 is 991
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 543 is 3 x 181
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(991, 172) = 170452
GCD(991, 172) = ( 991 x 172 ) / 170452
GCD(991, 172) = 170452 / 170452
GCD(991, 172) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 543
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 543) = 543
GCD(1, 543) = ( 1 x 543 ) / 543
GCD(1, 543) = 543 / 543
GCD(1, 543) = 1
GCD of 991, 172, 45, 543 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 991, 172, 45, 543?
GCD of 991, 172, 45, 543 is 1
2. Where do I get the detailed procedure to find GCD of 991, 172, 45, 543?
You can find a detailed procedure to find GCD of 991, 172, 45, 543 on our page.
3. How to find GCD of 991, 172, 45, 543 on a calculator?
You can find the GCD of 991, 172, 45, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.