GCD of 462, 836, 869 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 462, 836, 869 quickly. Get the easiest ways to solve the greatest common divisor of 462, 836, 869 i.e 11 in different methods as follows.
Given Input numbers are 462, 836, 869
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 836 :
The positive integer divisors of 836 that completely divides 836 are.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 869 :
The positive integer divisors of 869 that completely divides 869 are.
1, 11, 79, 869
GCD of numbers is the greatest common divisor
So, the GCD (462, 836, 869) = 11.
Given numbers are 462, 836, 869
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 836 are 2 x 2 x 11 x 19
Prime factors of 869 are 11 x 79
The highest common occurrence is 111
Therefore, GCD of 462, 836, 869 is 11.
Steps to Calculate GCD of 462, 836, 869 using LCM Formula
Given numbers are 462, 836, 869
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 836) = 17556
GCD(462, 836) = ( 462 x 836 ) / 17556
= 462 / 836
= 462
Step2:
LCM(22, 869) = 1738
GCD(22, 869) = ( 22 x 869 ) / 1738
= 22 / 869
= 22
So, Greatest Common Divisor of 462, 836, 869 is 11
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 462, 836, 869
Given numbers are 462, 836, 869
The greatest common divisor of numbers 462, 836, 869 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 836, 869 is 11.
FAQs on GCD of 462, 836, 869 Calculator
1. What is the GCD of 462, 836, 869?
GCD of given numbers 462, 836, 869 is 11
2. How to calculate the greatest common divisor of 462, 836, 869?
We can find the highest common divisor of 462, 836, 869 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 462, 836, 869 i.e 11.
3. How can I use the GCD of 462, 836, 869Calculator?
Out the numbers 462, 836, 869 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.