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GCD of 834, 360, 636, 936 Calculator

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


Online GCD Calculator is useful to find the GCD of 834, 360, 636, 936 quickly. Get the easiest ways to solve the greatest common divisor of 834, 360, 636, 936 i.e 6 in different methods as follows.

GCD of

How to Find GCD of Numbers 834, 360, 636, 936 with Factoring?

Given Input numbers are 834, 360, 636, 936

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

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936


GCD of numbers is the greatest common divisor

So, the GCD (834, 360, 636, 936) = 6.

Find GCD of 834, 360, 636, 936 using Prime Factorization

Given numbers are 834, 360, 636, 936

The list of prime factors of all numbers are

Prime factors of 834 are 2 x 3 x 139

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

The highest common occurrence is 21 x 31

Therefore, GCD of 834, 360, 636, 936 is 6.

Steps to Calculate GCD of 834, 360, 636, 936 using LCM Formula

Given numbers are 834, 360, 636, 936

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

Apply this formula for all numbers.

Step1:

LCM(834, 360) = 50040

GCD(834, 360) = ( 834 x 360 ) / 50040

= 834 / 360

= 834


Step2:

LCM(6, 636) = 636

GCD(6, 636) = ( 6 x 636 ) / 636

= 6 / 636

= 6


Step3:

LCM(6, 936) = 936

GCD(6, 936) = ( 6 x 936 ) / 936

= 6 / 936

= 6


So, Greatest Common Divisor of 834, 360, 636, 936 is 6

GCD of Numbers Calculation Examples

Greatest Common Divisor of 834, 360, 636, 936

Given numbers are 834, 360, 636, 936
The greatest common divisor of numbers 834, 360, 636, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 360, 636, 936 is 6.

FAQs on GCD of 834, 360, 636, 936 Calculator

1. What is the GCD of 834, 360, 636, 936?

GCD of given numbers 834, 360, 636, 936 is 6


2. How to calculate the greatest common divisor of 834, 360, 636, 936?

We can find the highest common divisor of 834, 360, 636, 936 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 834, 360, 636, 936 i.e 6.


3. How can I use the GCD of 834, 360, 636, 936Calculator?

Out the numbers 834, 360, 636, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.