GCD of 465, 405, 56 Calculator
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 465, 405, 56 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 405, 56 is 1
GCD(465, 405, 56) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 405, 56 is 1
GCD(465, 405, 56) = 1
GCDof 465,405,56 is 1
Given Input numbers are 465, 405, 56
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Greatest Common Divisior
We found the divisors of 465, 405, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 405, 56 is 1.
Therefore, GCD of numbers 465, 405, 56 is 1
Given Input Data is 465, 405, 56
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 56 is 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 465, 405, 56 using LCM Formula
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(465, 405) = 12555
GCD(465, 405) = ( 465 x 405 ) / 12555
GCD(465, 405) = 188325 / 12555
GCD(465, 405) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 56) = 840
GCD(15, 56) = ( 15 x 56 ) / 840
GCD(15, 56) = 840 / 840
GCD(15, 56) = 1
GCD of 465, 405, 56 is 1
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FAQs on GCD of numbers 465, 405, 56
1. What is the GCD of 465, 405, 56?
GCD of 465, 405, 56 is 1
2. Where do I get the detailed procedure to find GCD of 465, 405, 56?
You can find a detailed procedure to find GCD of 465, 405, 56 on our page.
3. How to find GCD of 465, 405, 56 on a calculator?
You can find the GCD of 465, 405, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.