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 755, 543, 901, 216 i.e. 1 largest integer that divides all the numbers equally.
GCD of 755, 543, 901, 216 is 1
GCD(755, 543, 901, 216) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 755, 543, 901, 216 is 1
GCD(755, 543, 901, 216) = 1
Given Input numbers are 755, 543, 901, 216
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Greatest Common Divisior
We found the divisors of 755, 543, 901, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 543, 901, 216 is 1.
Therefore, GCD of numbers 755, 543, 901, 216 is 1
Given Input Data is 755, 543, 901, 216
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 755 is 5 x 151
Prime Factorization of 543 is 3 x 181
Prime Factorization of 901 is 17 x 53
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
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(755, 543) = 409965
GCD(755, 543) = ( 755 x 543 ) / 409965
GCD(755, 543) = 409965 / 409965
GCD(755, 543) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 901
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 901) = 901
GCD(1, 901) = ( 1 x 901 ) / 901
GCD(1, 901) = 901 / 901
GCD(1, 901) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
GCD(1, 216) = 216 / 216
GCD(1, 216) = 1
GCD of 755, 543, 901, 216 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 755, 543, 901, 216?
GCD of 755, 543, 901, 216 is 1
2. Where do I get the detailed procedure to find GCD of 755, 543, 901, 216?
You can find a detailed procedure to find GCD of 755, 543, 901, 216 on our page.
3. How to find GCD of 755, 543, 901, 216 on a calculator?
You can find the GCD of 755, 543, 901, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.