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GCD of 576, 495, 981, 711 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, 495, 981, 711 quickly. Get the easiest ways to solve the greatest common divisor of 576, 495, 981, 711 i.e 9 in different methods as follows.

GCD of

How to Find GCD of Numbers 576, 495, 981, 711 with Factoring?

Given Input numbers are 576, 495, 981, 711

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 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711


GCD of numbers is the greatest common divisor

So, the GCD (576, 495, 981, 711) = 9.

Find GCD of 576, 495, 981, 711 using Prime Factorization

Given numbers are 576, 495, 981, 711

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 495 are 3 x 3 x 5 x 11

Prime factors of 981 are 3 x 3 x 109

Prime factors of 711 are 3 x 3 x 79

The highest common occurrence is 32

Therefore, GCD of 576, 495, 981, 711 is 9.

Steps to Calculate GCD of 576, 495, 981, 711 using LCM Formula

Given numbers are 576, 495, 981, 711

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

Apply this formula for all numbers.

Step1:

LCM(576, 495) = 31680

GCD(576, 495) = ( 576 x 495 ) / 31680

= 576 / 495

= 576


Step2:

LCM(9, 981) = 981

GCD(9, 981) = ( 9 x 981 ) / 981

= 9 / 981

= 9


Step3:

LCM(9, 711) = 711

GCD(9, 711) = ( 9 x 711 ) / 711

= 9 / 711

= 9


So, Greatest Common Divisor of 576, 495, 981, 711 is 9

GCD of Numbers Calculation Examples

Greatest Common Divisor of 576, 495, 981, 711

Given numbers are 576, 495, 981, 711
The greatest common divisor of numbers 576, 495, 981, 711 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 495, 981, 711 is 9.

FAQs on GCD of 576, 495, 981, 711 Calculator

1. What is the GCD of 576, 495, 981, 711?

GCD of given numbers 576, 495, 981, 711 is 9


2. How to calculate the greatest common divisor of 576, 495, 981, 711?

We can find the highest common divisor of 576, 495, 981, 711 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, 495, 981, 711 i.e 9.


3. How can I use the GCD of 576, 495, 981, 711Calculator?

Out the numbers 576, 495, 981, 711 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.