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 456, 611, 52 i.e. 1 largest integer that divides all the numbers equally.
GCD of 456, 611, 52 is 1
GCD(456, 611, 52) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 456, 611, 52 is 1
GCD(456, 611, 52) = 1
Given Input numbers are 456, 611, 52
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Greatest Common Divisior
We found the divisors of 456, 611, 52 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 611, 52 is 1.
Therefore, GCD of numbers 456, 611, 52 is 1
Given Input Data is 456, 611, 52
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 611 is 13 x 47
Prime Factorization of 52 is 2 x 2 x 13
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(456, 611) = 278616
GCD(456, 611) = ( 456 x 611 ) / 278616
GCD(456, 611) = 278616 / 278616
GCD(456, 611) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
GCD of 456, 611, 52 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 456, 611, 52?
GCD of 456, 611, 52 is 1
2. Where do I get the detailed procedure to find GCD of 456, 611, 52?
You can find a detailed procedure to find GCD of 456, 611, 52 on our page.
3. How to find GCD of 456, 611, 52 on a calculator?
You can find the GCD of 456, 611, 52 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.