GCD of 816, 108, 77 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 816, 108, 77 quickly. Get the easiest ways to solve the greatest common divisor of 816, 108, 77 i.e 1 in different methods as follows.
Given Input numbers are 816, 108, 77
In the factoring method, we have to find the divisors of all numbers
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 77 :
The positive integer divisors of 77 that completely divides 77 are.
1, 7, 11, 77
GCD of numbers is the greatest common divisor
So, the GCD (816, 108, 77) = 1.
Given numbers are 816, 108, 77
The list of prime factors of all numbers are
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 77 are 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 816, 108, 77 using LCM Formula
Given numbers are 816, 108, 77
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 108) = 7344
GCD(816, 108) = ( 816 x 108 ) / 7344
= 816 / 108
= 816
Step2:
LCM(12, 77) = 924
GCD(12, 77) = ( 12 x 77 ) / 924
= 12 / 77
= 12
So, Greatest Common Divisor of 816, 108, 77 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 816, 108, 77
Given numbers are 816, 108, 77
The greatest common divisor of numbers 816, 108, 77 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 108, 77 is 1.
FAQs on GCD of 816, 108, 77 Calculator
1. What is the GCD of 816, 108, 77?
GCD of given numbers 816, 108, 77 is 1
2. How to calculate the greatest common divisor of 816, 108, 77?
We can find the highest common divisor of 816, 108, 77 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 816, 108, 77 i.e 1.
3. How can I use the GCD of 816, 108, 77Calculator?
Out the numbers 816, 108, 77 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.