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 32, 724, 166, 543 i.e. 1 largest integer that divides all the numbers equally.
GCD of 32, 724, 166, 543 is 1
GCD(32, 724, 166, 543) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 724, 166, 543 is 1
GCD(32, 724, 166, 543) = 1
Given Input numbers are 32, 724, 166, 543
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
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 32, 724, 166, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 724, 166, 543 is 1.
Therefore, GCD of numbers 32, 724, 166, 543 is 1
Given Input Data is 32, 724, 166, 543
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 166 is 2 x 83
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(32, 724) = 5792
GCD(32, 724) = ( 32 x 724 ) / 5792
GCD(32, 724) = 23168 / 5792
GCD(32, 724) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 166
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 166) = 332
GCD(4, 166) = ( 4 x 166 ) / 332
GCD(4, 166) = 664 / 332
GCD(4, 166) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 543
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 543) = 1086
GCD(2, 543) = ( 2 x 543 ) / 1086
GCD(2, 543) = 1086 / 1086
GCD(2, 543) = 1
GCD of 32, 724, 166, 543 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 32, 724, 166, 543?
GCD of 32, 724, 166, 543 is 1
2. Where do I get the detailed procedure to find GCD of 32, 724, 166, 543?
You can find a detailed procedure to find GCD of 32, 724, 166, 543 on our page.
3. How to find GCD of 32, 724, 166, 543 on a calculator?
You can find the GCD of 32, 724, 166, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.