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 273, 805, 47, 100 i.e. 1 largest integer that divides all the numbers equally.
GCD of 273, 805, 47, 100 is 1
GCD(273, 805, 47, 100) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 273, 805, 47, 100 is 1
GCD(273, 805, 47, 100) = 1
Given Input numbers are 273, 805, 47, 100
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Greatest Common Divisior
We found the divisors of 273, 805, 47, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 805, 47, 100 is 1.
Therefore, GCD of numbers 273, 805, 47, 100 is 1
Given Input Data is 273, 805, 47, 100
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 805 is 5 x 7 x 23
Prime Factorization of 47 is 47
Prime Factorization of 100 is 2 x 2 x 5 x 5
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(273, 805) = 31395
GCD(273, 805) = ( 273 x 805 ) / 31395
GCD(273, 805) = 219765 / 31395
GCD(273, 805) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 47) = 329
GCD(7, 47) = ( 7 x 47 ) / 329
GCD(7, 47) = 329 / 329
GCD(7, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 100
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
GCD(1, 100) = 100 / 100
GCD(1, 100) = 1
GCD of 273, 805, 47, 100 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 273, 805, 47, 100?
GCD of 273, 805, 47, 100 is 1
2. Where do I get the detailed procedure to find GCD of 273, 805, 47, 100?
You can find a detailed procedure to find GCD of 273, 805, 47, 100 on our page.
3. How to find GCD of 273, 805, 47, 100 on a calculator?
You can find the GCD of 273, 805, 47, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.