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GCD of 824, 472, 196, 866 Calculator

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


Online GCD Calculator is useful to find the GCD of 824, 472, 196, 866 quickly. Get the easiest ways to solve the greatest common divisor of 824, 472, 196, 866 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 824, 472, 196, 866 with Factoring?

Given Input numbers are 824, 472, 196, 866

In the factoring method, we have to find the divisors of all numbers

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 866 :

The positive integer divisors of 866 that completely divides 866 are.

1, 2, 433, 866


GCD of numbers is the greatest common divisor

So, the GCD (824, 472, 196, 866) = 2.

Find GCD of 824, 472, 196, 866 using Prime Factorization

Given numbers are 824, 472, 196, 866

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 866 are 2 x 433

The highest common occurrence is 21

Therefore, GCD of 824, 472, 196, 866 is 2.

Steps to Calculate GCD of 824, 472, 196, 866 using LCM Formula

Given numbers are 824, 472, 196, 866

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

Apply this formula for all numbers.

Step1:

LCM(824, 472) = 48616

GCD(824, 472) = ( 824 x 472 ) / 48616

= 824 / 472

= 824


Step2:

LCM(8, 196) = 392

GCD(8, 196) = ( 8 x 196 ) / 392

= 8 / 196

= 8


Step3:

LCM(4, 866) = 1732

GCD(4, 866) = ( 4 x 866 ) / 1732

= 4 / 866

= 4


So, Greatest Common Divisor of 824, 472, 196, 866 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 824, 472, 196, 866

Given numbers are 824, 472, 196, 866
The greatest common divisor of numbers 824, 472, 196, 866 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 472, 196, 866 is 2.

FAQs on GCD of 824, 472, 196, 866 Calculator

1. What is the GCD of 824, 472, 196, 866?

GCD of given numbers 824, 472, 196, 866 is 2


2. How to calculate the greatest common divisor of 824, 472, 196, 866?

We can find the highest common divisor of 824, 472, 196, 866 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 824, 472, 196, 866 i.e 2.


3. How can I use the GCD of 824, 472, 196, 866Calculator?

Out the numbers 824, 472, 196, 866 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.