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GCD of 884, 540, 676, 792 Calculator

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


Online GCD Calculator is useful to find the GCD of 884, 540, 676, 792 quickly. Get the easiest ways to solve the greatest common divisor of 884, 540, 676, 792 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 884, 540, 676, 792 with Factoring?

Given Input numbers are 884, 540, 676, 792

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

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 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792


GCD of numbers is the greatest common divisor

So, the GCD (884, 540, 676, 792) = 4.

Find GCD of 884, 540, 676, 792 using Prime Factorization

Given numbers are 884, 540, 676, 792

The list of prime factors of all numbers are

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

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

The highest common occurrence is 22

Therefore, GCD of 884, 540, 676, 792 is 4.

Steps to Calculate GCD of 884, 540, 676, 792 using LCM Formula

Given numbers are 884, 540, 676, 792

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

Apply this formula for all numbers.

Step1:

LCM(884, 540) = 119340

GCD(884, 540) = ( 884 x 540 ) / 119340

= 884 / 540

= 884


Step2:

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

= 4 / 676

= 4


Step3:

LCM(4, 792) = 792

GCD(4, 792) = ( 4 x 792 ) / 792

= 4 / 792

= 4


So, Greatest Common Divisor of 884, 540, 676, 792 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 884, 540, 676, 792

Given numbers are 884, 540, 676, 792
The greatest common divisor of numbers 884, 540, 676, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 884, 540, 676, 792 is 4.

FAQs on GCD of 884, 540, 676, 792 Calculator

1. What is the GCD of 884, 540, 676, 792?

GCD of given numbers 884, 540, 676, 792 is 4


2. How to calculate the greatest common divisor of 884, 540, 676, 792?

We can find the highest common divisor of 884, 540, 676, 792 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 884, 540, 676, 792 i.e 4.


3. How can I use the GCD of 884, 540, 676, 792Calculator?

Out the numbers 884, 540, 676, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.