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GCD of 576, 792, 280, 772 Calculator

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


Online GCD Calculator is useful to find the GCD of 576, 792, 280, 772 quickly. Get the easiest ways to solve the greatest common divisor of 576, 792, 280, 772 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 576, 792, 280, 772 with Factoring?

Given Input numbers are 576, 792, 280, 772

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772


GCD of numbers is the greatest common divisor

So, the GCD (576, 792, 280, 772) = 4.

Find GCD of 576, 792, 280, 772 using Prime Factorization

Given numbers are 576, 792, 280, 772

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 22

Therefore, GCD of 576, 792, 280, 772 is 4.

Steps to Calculate GCD of 576, 792, 280, 772 using LCM Formula

Given numbers are 576, 792, 280, 772

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

Apply this formula for all numbers.

Step1:

LCM(576, 792) = 6336

GCD(576, 792) = ( 576 x 792 ) / 6336

= 576 / 792

= 576


Step2:

LCM(72, 280) = 2520

GCD(72, 280) = ( 72 x 280 ) / 2520

= 72 / 280

= 72


Step3:

LCM(8, 772) = 1544

GCD(8, 772) = ( 8 x 772 ) / 1544

= 8 / 772

= 8


So, Greatest Common Divisor of 576, 792, 280, 772 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 576, 792, 280, 772

Given numbers are 576, 792, 280, 772
The greatest common divisor of numbers 576, 792, 280, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 792, 280, 772 is 4.

FAQs on GCD of 576, 792, 280, 772 Calculator

1. What is the GCD of 576, 792, 280, 772?

GCD of given numbers 576, 792, 280, 772 is 4


2. How to calculate the greatest common divisor of 576, 792, 280, 772?

We can find the highest common divisor of 576, 792, 280, 772 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 576, 792, 280, 772 i.e 4.


3. How can I use the GCD of 576, 792, 280, 772Calculator?

Out the numbers 576, 792, 280, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.