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 795, 221, 264, 901 i.e. 1 largest integer that divides all the numbers equally.
GCD of 795, 221, 264, 901 is 1
GCD(795, 221, 264, 901) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 795, 221, 264, 901 is 1
GCD(795, 221, 264, 901) = 1
Given Input numbers are 795, 221, 264, 901
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
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 795, 221, 264, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 221, 264, 901 is 1.
Therefore, GCD of numbers 795, 221, 264, 901 is 1
Given Input Data is 795, 221, 264, 901
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 795 is 3 x 5 x 53
Prime Factorization of 221 is 13 x 17
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
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(795, 221) = 175695
GCD(795, 221) = ( 795 x 221 ) / 175695
GCD(795, 221) = 175695 / 175695
GCD(795, 221) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
GCD(1, 264) = 264 / 264
GCD(1, 264) = 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 795, 221, 264, 901 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 795, 221, 264, 901?
GCD of 795, 221, 264, 901 is 1
2. Where do I get the detailed procedure to find GCD of 795, 221, 264, 901?
You can find a detailed procedure to find GCD of 795, 221, 264, 901 on our page.
3. How to find GCD of 795, 221, 264, 901 on a calculator?
You can find the GCD of 795, 221, 264, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.