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GCD of 840, 884, 288, 684 Calculator

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


Online GCD Calculator is useful to find the GCD of 840, 884, 288, 684 quickly. Get the easiest ways to solve the greatest common divisor of 840, 884, 288, 684 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 840, 884, 288, 684 with Factoring?

Given Input numbers are 840, 884, 288, 684

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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


GCD of numbers is the greatest common divisor

So, the GCD (840, 884, 288, 684) = 4.

Find GCD of 840, 884, 288, 684 using Prime Factorization

Given numbers are 840, 884, 288, 684

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

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

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

The highest common occurrence is 22

Therefore, GCD of 840, 884, 288, 684 is 4.

Steps to Calculate GCD of 840, 884, 288, 684 using LCM Formula

Given numbers are 840, 884, 288, 684

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

Apply this formula for all numbers.

Step1:

LCM(840, 884) = 185640

GCD(840, 884) = ( 840 x 884 ) / 185640

= 840 / 884

= 840


Step2:

LCM(4, 288) = 288

GCD(4, 288) = ( 4 x 288 ) / 288

= 4 / 288

= 4


Step3:

LCM(4, 684) = 684

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

= 4 / 684

= 4


So, Greatest Common Divisor of 840, 884, 288, 684 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 840, 884, 288, 684

Given numbers are 840, 884, 288, 684
The greatest common divisor of numbers 840, 884, 288, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 884, 288, 684 is 4.

FAQs on GCD of 840, 884, 288, 684 Calculator

1. What is the GCD of 840, 884, 288, 684?

GCD of given numbers 840, 884, 288, 684 is 4


2. How to calculate the greatest common divisor of 840, 884, 288, 684?

We can find the highest common divisor of 840, 884, 288, 684 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 840, 884, 288, 684 i.e 4.


3. How can I use the GCD of 840, 884, 288, 684Calculator?

Out the numbers 840, 884, 288, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.