GCD of 780, 459, 463 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 780, 459, 463 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 459, 463 is 1
GCD(780, 459, 463) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 459, 463 is 1
GCD(780, 459, 463) = 1
GCDof 780,459,463 is 1
Given Input numbers are 780, 459, 463
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Greatest Common Divisior
We found the divisors of 780, 459, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 459, 463 is 1.
Therefore, GCD of numbers 780, 459, 463 is 1
Given Input Data is 780, 459, 463
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 463 is 463
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 780, 459, 463 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(780, 459) = 119340
GCD(780, 459) = ( 780 x 459 ) / 119340
GCD(780, 459) = 358020 / 119340
GCD(780, 459) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 463
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 463) = 1389
GCD(3, 463) = ( 3 x 463 ) / 1389
GCD(3, 463) = 1389 / 1389
GCD(3, 463) = 1
GCD of 780, 459, 463 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 780, 459, 463
1. What is the GCD of 780, 459, 463?
GCD of 780, 459, 463 is 1
2. Where do I get the detailed procedure to find GCD of 780, 459, 463?
You can find a detailed procedure to find GCD of 780, 459, 463 on our page.
3. How to find GCD of 780, 459, 463 on a calculator?
You can find the GCD of 780, 459, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.