GCD of 870, 810, 384 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 870, 810, 384 quickly. Get the easiest ways to solve the greatest common divisor of 870, 810, 384 i.e 6 in different methods as follows.
Given Input numbers are 870, 810, 384
In the factoring method, we have to find the divisors of all numbers
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
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 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
GCD of numbers is the greatest common divisor
So, the GCD (870, 810, 384) = 6.
Given numbers are 870, 810, 384
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 870, 810, 384 is 6.
Steps to Calculate GCD of 870, 810, 384 using LCM Formula
Given numbers are 870, 810, 384
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 810) = 23490
GCD(870, 810) = ( 870 x 810 ) / 23490
= 870 / 810
= 870
Step2:
LCM(30, 384) = 1920
GCD(30, 384) = ( 30 x 384 ) / 1920
= 30 / 384
= 30
So, Greatest Common Divisor of 870, 810, 384 is 6
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 870, 810, 384
Given numbers are 870, 810, 384
The greatest common divisor of numbers 870, 810, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 810, 384 is 6.
FAQs on GCD of 870, 810, 384 Calculator
1. What is the GCD of 870, 810, 384?
GCD of given numbers 870, 810, 384 is 6
2. How to calculate the greatest common divisor of 870, 810, 384?
We can find the highest common divisor of 870, 810, 384 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 870, 810, 384 i.e 6.
3. How can I use the GCD of 870, 810, 384Calculator?
Out the numbers 870, 810, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.