GCD of 810, 840, 963 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 810, 840, 963 quickly. Get the easiest ways to solve the greatest common divisor of 810, 840, 963 i.e 3 in different methods as follows.
Given Input numbers are 810, 840, 963
In the factoring method, we have to find the divisors of all numbers
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 963 :
The positive integer divisors of 963 that completely divides 963 are.
1, 3, 9, 107, 321, 963
GCD of numbers is the greatest common divisor
So, the GCD (810, 840, 963) = 3.
Given numbers are 810, 840, 963
The list of prime factors of all numbers are
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 963 are 3 x 3 x 107
The highest common occurrence is 31
Therefore, GCD of 810, 840, 963 is 3.
Steps to Calculate GCD of 810, 840, 963 using LCM Formula
Given numbers are 810, 840, 963
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(810, 840) = 22680
GCD(810, 840) = ( 810 x 840 ) / 22680
= 810 / 840
= 810
Step2:
LCM(30, 963) = 9630
GCD(30, 963) = ( 30 x 963 ) / 9630
= 30 / 963
= 30
So, Greatest Common Divisor of 810, 840, 963 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 810, 840, 963
Given numbers are 810, 840, 963
The greatest common divisor of numbers 810, 840, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 810, 840, 963 is 3.
FAQs on GCD of 810, 840, 963 Calculator
1. What is the GCD of 810, 840, 963?
GCD of given numbers 810, 840, 963 is 3
2. How to calculate the greatest common divisor of 810, 840, 963?
We can find the highest common divisor of 810, 840, 963 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 810, 840, 963 i.e 3.
3. How can I use the GCD of 810, 840, 963Calculator?
Out the numbers 810, 840, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.