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 783, 810, 870 i.e. 3 largest integer that divides all the numbers equally.
GCD of 783, 810, 870 is 3
GCD(783, 810, 870) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 783, 810, 870 is 3
GCD(783, 810, 870) = 3
Given Input numbers are 783, 810, 870
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Greatest Common Divisior
We found the divisors of 783, 810, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 810, 870 is 3.
Therefore, GCD of numbers 783, 810, 870 is 3
Given Input Data is 783, 810, 870
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 783 is 3 x 3 x 3 x 29
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 870 is 2 x 3 x 5 x 29
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(783, 810) = 23490
GCD(783, 810) = ( 783 x 810 ) / 23490
GCD(783, 810) = 634230 / 23490
GCD(783, 810) = 27
Step2:
Here we consider the GCD from the above i.e. 27 as first number and the next as 870
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(27, 870) = 7830
GCD(27, 870) = ( 27 x 870 ) / 7830
GCD(27, 870) = 23490 / 7830
GCD(27, 870) = 3
GCD of 783, 810, 870 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 783, 810, 870?
GCD of 783, 810, 870 is 3
2. Where do I get the detailed procedure to find GCD of 783, 810, 870?
You can find a detailed procedure to find GCD of 783, 810, 870 on our page.
3. How to find GCD of 783, 810, 870 on a calculator?
You can find the GCD of 783, 810, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.