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 272, 897, 947, 460 i.e. 1 largest integer that divides all the numbers equally.
GCD of 272, 897, 947, 460 is 1
GCD(272, 897, 947, 460) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 272, 897, 947, 460 is 1
GCD(272, 897, 947, 460) = 1
Given Input numbers are 272, 897, 947, 460
To find the GCD of numbers using factoring list out all the divisors of each number
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 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Greatest Common Divisior
We found the divisors of 272, 897, 947, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 897, 947, 460 is 1.
Therefore, GCD of numbers 272, 897, 947, 460 is 1
Given Input Data is 272, 897, 947, 460
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 947 is 947
Prime Factorization of 460 is 2 x 2 x 5 x 23
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(272, 897) = 243984
GCD(272, 897) = ( 272 x 897 ) / 243984
GCD(272, 897) = 243984 / 243984
GCD(272, 897) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 947
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 947) = 947
GCD(1, 947) = ( 1 x 947 ) / 947
GCD(1, 947) = 947 / 947
GCD(1, 947) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
GCD(1, 460) = 460 / 460
GCD(1, 460) = 1
GCD of 272, 897, 947, 460 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 272, 897, 947, 460?
GCD of 272, 897, 947, 460 is 1
2. Where do I get the detailed procedure to find GCD of 272, 897, 947, 460?
You can find a detailed procedure to find GCD of 272, 897, 947, 460 on our page.
3. How to find GCD of 272, 897, 947, 460 on a calculator?
You can find the GCD of 272, 897, 947, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.