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GCD of 816, 120, 831, 246 Calculator

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


Online GCD Calculator is useful to find the GCD of 816, 120, 831, 246 quickly. Get the easiest ways to solve the greatest common divisor of 816, 120, 831, 246 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 816, 120, 831, 246 with Factoring?

Given Input numbers are 816, 120, 831, 246

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 246 :

The positive integer divisors of 246 that completely divides 246 are.

1, 2, 3, 6, 41, 82, 123, 246


GCD of numbers is the greatest common divisor

So, the GCD (816, 120, 831, 246) = 3.

Find GCD of 816, 120, 831, 246 using Prime Factorization

Given numbers are 816, 120, 831, 246

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 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 831 are 3 x 277

Prime factors of 246 are 2 x 3 x 41

The highest common occurrence is 31

Therefore, GCD of 816, 120, 831, 246 is 3.

Steps to Calculate GCD of 816, 120, 831, 246 using LCM Formula

Given numbers are 816, 120, 831, 246

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

Apply this formula for all numbers.

Step1:

LCM(816, 120) = 4080

GCD(816, 120) = ( 816 x 120 ) / 4080

= 816 / 120

= 816


Step2:

LCM(24, 831) = 6648

GCD(24, 831) = ( 24 x 831 ) / 6648

= 24 / 831

= 24


Step3:

LCM(3, 246) = 246

GCD(3, 246) = ( 3 x 246 ) / 246

= 3 / 246

= 3


So, Greatest Common Divisor of 816, 120, 831, 246 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 816, 120, 831, 246

Given numbers are 816, 120, 831, 246
The greatest common divisor of numbers 816, 120, 831, 246 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 120, 831, 246 is 3.

FAQs on GCD of 816, 120, 831, 246 Calculator

1. What is the GCD of 816, 120, 831, 246?

GCD of given numbers 816, 120, 831, 246 is 3


2. How to calculate the greatest common divisor of 816, 120, 831, 246?

We can find the highest common divisor of 816, 120, 831, 246 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, 120, 831, 246 i.e 3.


3. How can I use the GCD of 816, 120, 831, 246Calculator?

Out the numbers 816, 120, 831, 246 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.