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 116, 207, 272, 901 i.e. 1 largest integer that divides all the numbers equally.
GCD of 116, 207, 272, 901 is 1
GCD(116, 207, 272, 901) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 116, 207, 272, 901 is 1
GCD(116, 207, 272, 901) = 1
Given Input numbers are 116, 207, 272, 901
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Greatest Common Divisior
We found the divisors of 116, 207, 272, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 207, 272, 901 is 1.
Therefore, GCD of numbers 116, 207, 272, 901 is 1
Given Input Data is 116, 207, 272, 901
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 901 is 17 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(116, 207) = 24012
GCD(116, 207) = ( 116 x 207 ) / 24012
GCD(116, 207) = 24012 / 24012
GCD(116, 207) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
GCD(1, 272) = 272 / 272
GCD(1, 272) = 1
Step3:
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
GCD of 116, 207, 272, 901 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 116, 207, 272, 901?
GCD of 116, 207, 272, 901 is 1
2. Where do I get the detailed procedure to find GCD of 116, 207, 272, 901?
You can find a detailed procedure to find GCD of 116, 207, 272, 901 on our page.
3. How to find GCD of 116, 207, 272, 901 on a calculator?
You can find the GCD of 116, 207, 272, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.