GCD of 656, 696, 776 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 656, 696, 776 quickly. Get the easiest ways to solve the greatest common divisor of 656, 696, 776 i.e 8 in different methods as follows.
Given Input numbers are 656, 696, 776
In the factoring method, we have to find the divisors of all numbers
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 776 :
The positive integer divisors of 776 that completely divides 776 are.
1, 2, 4, 8, 97, 194, 388, 776
GCD of numbers is the greatest common divisor
So, the GCD (656, 696, 776) = 8.
Given numbers are 656, 696, 776
The list of prime factors of all numbers are
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 776 are 2 x 2 x 2 x 97
The highest common occurrence is 23
Therefore, GCD of 656, 696, 776 is 8.
Steps to Calculate GCD of 656, 696, 776 using LCM Formula
Given numbers are 656, 696, 776
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(656, 696) = 57072
GCD(656, 696) = ( 656 x 696 ) / 57072
= 656 / 696
= 656
Step2:
LCM(8, 776) = 776
GCD(8, 776) = ( 8 x 776 ) / 776
= 8 / 776
= 8
So, Greatest Common Divisor of 656, 696, 776 is 8
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 656, 696, 776
Given numbers are 656, 696, 776
The greatest common divisor of numbers 656, 696, 776 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 656, 696, 776 is 8.
FAQs on GCD of 656, 696, 776 Calculator
1. What is the GCD of 656, 696, 776?
GCD of given numbers 656, 696, 776 is 8
2. How to calculate the greatest common divisor of 656, 696, 776?
We can find the highest common divisor of 656, 696, 776 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 656, 696, 776 i.e 8.
3. How can I use the GCD of 656, 696, 776Calculator?
Out the numbers 656, 696, 776 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.