LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 966, 462, 404, 826 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 966, 462, 404, 826 quickly. Get the easiest ways to solve the greatest common divisor of 966, 462, 404, 826 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 966, 462, 404, 826 with Factoring?

Given Input numbers are 966, 462, 404, 826

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 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 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826


GCD of numbers is the greatest common divisor

So, the GCD (966, 462, 404, 826) = 2.

Find GCD of 966, 462, 404, 826 using Prime Factorization

Given numbers are 966, 462, 404, 826

The list of prime factors of all numbers are

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 404 are 2 x 2 x 101

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 21

Therefore, GCD of 966, 462, 404, 826 is 2.

Steps to Calculate GCD of 966, 462, 404, 826 using LCM Formula

Given numbers are 966, 462, 404, 826

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(966, 462) = 10626

GCD(966, 462) = ( 966 x 462 ) / 10626

= 966 / 462

= 966


Step2:

LCM(42, 404) = 8484

GCD(42, 404) = ( 42 x 404 ) / 8484

= 42 / 404

= 42


Step3:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2


So, Greatest Common Divisor of 966, 462, 404, 826 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 966, 462, 404, 826

Given numbers are 966, 462, 404, 826
The greatest common divisor of numbers 966, 462, 404, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 462, 404, 826 is 2.

FAQs on GCD of 966, 462, 404, 826 Calculator

1. What is the GCD of 966, 462, 404, 826?

GCD of given numbers 966, 462, 404, 826 is 2


2. How to calculate the greatest common divisor of 966, 462, 404, 826?

We can find the highest common divisor of 966, 462, 404, 826 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, 462, 404, 826 i.e 2.


3. How can I use the GCD of 966, 462, 404, 826Calculator?

Out the numbers 966, 462, 404, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.