GCD of 780, 873, 849 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, 873, 849 i.e. 3 largest integer that divides all the numbers equally.
GCD of 780, 873, 849 is 3
GCD(780, 873, 849) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 873, 849 is 3
GCD(780, 873, 849) = 3
GCDof 780,873,849 is 3
Given Input numbers are 780, 873, 849
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 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Greatest Common Divisior
We found the divisors of 780, 873, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 873, 849 is 3.
Therefore, GCD of numbers 780, 873, 849 is 3
Given Input Data is 780, 873, 849
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 873 is 3 x 3 x 97
Prime Factorization of 849 is 3 x 283
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 780, 873, 849 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, 873) = 226980
GCD(780, 873) = ( 780 x 873 ) / 226980
GCD(780, 873) = 680940 / 226980
GCD(780, 873) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 849) = 849
GCD(3, 849) = ( 3 x 849 ) / 849
GCD(3, 849) = 2547 / 849
GCD(3, 849) = 3
GCD of 780, 873, 849 is 3
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FAQs on GCD of numbers 780, 873, 849
1. What is the GCD of 780, 873, 849?
GCD of 780, 873, 849 is 3
2. Where do I get the detailed procedure to find GCD of 780, 873, 849?
You can find a detailed procedure to find GCD of 780, 873, 849 on our page.
3. How to find GCD of 780, 873, 849 on a calculator?
You can find the GCD of 780, 873, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.