GCD of 132, 768, 861 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 132, 768, 861 quickly. Get the easiest ways to solve the greatest common divisor of 132, 768, 861 i.e 3 in different methods as follows.
Given Input numbers are 132, 768, 861
In the factoring method, we have to find the divisors of all numbers
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
GCD of numbers is the greatest common divisor
So, the GCD (132, 768, 861) = 3.
Given numbers are 132, 768, 861
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 861 are 3 x 7 x 41
The highest common occurrence is 31
Therefore, GCD of 132, 768, 861 is 3.
Steps to Calculate GCD of 132, 768, 861 using LCM Formula
Given numbers are 132, 768, 861
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 768) = 8448
GCD(132, 768) = ( 132 x 768 ) / 8448
= 132 / 768
= 132
Step2:
LCM(12, 861) = 3444
GCD(12, 861) = ( 12 x 861 ) / 3444
= 12 / 861
= 12
So, Greatest Common Divisor of 132, 768, 861 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 132, 768, 861
Given numbers are 132, 768, 861
The greatest common divisor of numbers 132, 768, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 768, 861 is 3.
FAQs on GCD of 132, 768, 861 Calculator
1. What is the GCD of 132, 768, 861?
GCD of given numbers 132, 768, 861 is 3
2. How to calculate the greatest common divisor of 132, 768, 861?
We can find the highest common divisor of 132, 768, 861 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 132, 768, 861 i.e 3.
3. How can I use the GCD of 132, 768, 861Calculator?
Out the numbers 132, 768, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.