GCD of 966, 724, 856 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 966, 724, 856 quickly. Get the easiest ways to solve the greatest common divisor of 966, 724, 856 i.e 2 in different methods as follows.
Given Input numbers are 966, 724, 856
In the factoring method, we have to find the divisors of all numbers
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
GCD of numbers is the greatest common divisor
So, the GCD (966, 724, 856) = 2.
Given numbers are 966, 724, 856
The list of prime factors of all numbers are
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 724 are 2 x 2 x 181
Prime factors of 856 are 2 x 2 x 2 x 107
The highest common occurrence is 21
Therefore, GCD of 966, 724, 856 is 2.
Steps to Calculate GCD of 966, 724, 856 using LCM Formula
Given numbers are 966, 724, 856
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(966, 724) = 349692
GCD(966, 724) = ( 966 x 724 ) / 349692
= 966 / 724
= 966
Step2:
LCM(2, 856) = 856
GCD(2, 856) = ( 2 x 856 ) / 856
= 2 / 856
= 2
So, Greatest Common Divisor of 966, 724, 856 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 966, 724, 856
Given numbers are 966, 724, 856
The greatest common divisor of numbers 966, 724, 856 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 724, 856 is 2.
FAQs on GCD of 966, 724, 856 Calculator
1. What is the GCD of 966, 724, 856?
GCD of given numbers 966, 724, 856 is 2
2. How to calculate the greatest common divisor of 966, 724, 856?
We can find the highest common divisor of 966, 724, 856 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 966, 724, 856 i.e 2.
3. How can I use the GCD of 966, 724, 856Calculator?
Out the numbers 966, 724, 856 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.