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GCD of 800, 468, 684, 884 Calculator

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


Online GCD Calculator is useful to find the GCD of 800, 468, 684, 884 quickly. Get the easiest ways to solve the greatest common divisor of 800, 468, 684, 884 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 468, 684, 884 with Factoring?

Given Input numbers are 800, 468, 684, 884

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884


GCD of numbers is the greatest common divisor

So, the GCD (800, 468, 684, 884) = 4.

Find GCD of 800, 468, 684, 884 using Prime Factorization

Given numbers are 800, 468, 684, 884

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 884 are 2 x 2 x 13 x 17

The highest common occurrence is 22

Therefore, GCD of 800, 468, 684, 884 is 4.

Steps to Calculate GCD of 800, 468, 684, 884 using LCM Formula

Given numbers are 800, 468, 684, 884

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

Apply this formula for all numbers.

Step1:

LCM(800, 468) = 93600

GCD(800, 468) = ( 800 x 468 ) / 93600

= 800 / 468

= 800


Step2:

LCM(4, 684) = 684

GCD(4, 684) = ( 4 x 684 ) / 684

= 4 / 684

= 4


Step3:

LCM(4, 884) = 884

GCD(4, 884) = ( 4 x 884 ) / 884

= 4 / 884

= 4


So, Greatest Common Divisor of 800, 468, 684, 884 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 468, 684, 884

Given numbers are 800, 468, 684, 884
The greatest common divisor of numbers 800, 468, 684, 884 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 468, 684, 884 is 4.

FAQs on GCD of 800, 468, 684, 884 Calculator

1. What is the GCD of 800, 468, 684, 884?

GCD of given numbers 800, 468, 684, 884 is 4


2. How to calculate the greatest common divisor of 800, 468, 684, 884?

We can find the highest common divisor of 800, 468, 684, 884 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 800, 468, 684, 884 i.e 4.


3. How can I use the GCD of 800, 468, 684, 884Calculator?

Out the numbers 800, 468, 684, 884 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.