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 901, 272, 68, 592 i.e. 1 largest integer that divides all the numbers equally.
GCD of 901, 272, 68, 592 is 1
GCD(901, 272, 68, 592) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 901, 272, 68, 592 is 1
GCD(901, 272, 68, 592) = 1
Given Input numbers are 901, 272, 68, 592
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
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 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Greatest Common Divisior
We found the divisors of 901, 272, 68, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 272, 68, 592 is 1.
Therefore, GCD of numbers 901, 272, 68, 592 is 1
Given Input Data is 901, 272, 68, 592
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 901 is 17 x 53
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
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(901, 272) = 14416
GCD(901, 272) = ( 901 x 272 ) / 14416
GCD(901, 272) = 245072 / 14416
GCD(901, 272) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 68) = 68
GCD(17, 68) = ( 17 x 68 ) / 68
GCD(17, 68) = 1156 / 68
GCD(17, 68) = 17
Step3:
Here we consider the GCD from the above i.e. 17 as first number and the next as 592
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 592) = 10064
GCD(17, 592) = ( 17 x 592 ) / 10064
GCD(17, 592) = 10064 / 10064
GCD(17, 592) = 1
GCD of 901, 272, 68, 592 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 901, 272, 68, 592?
GCD of 901, 272, 68, 592 is 1
2. Where do I get the detailed procedure to find GCD of 901, 272, 68, 592?
You can find a detailed procedure to find GCD of 901, 272, 68, 592 on our page.
3. How to find GCD of 901, 272, 68, 592 on a calculator?
You can find the GCD of 901, 272, 68, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.