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GCD of 162, 825, 183, 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 162, 825, 183, 711 quickly. Get the easiest ways to solve the greatest common divisor of 162, 825, 183, 711 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 162, 825, 183, 711 with Factoring?

Given Input numbers are 162, 825, 183, 711

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

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 183 :

The positive integer divisors of 183 that completely divides 183 are.

1, 3, 61, 183

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 (162, 825, 183, 711) = 3.

Find GCD of 162, 825, 183, 711 using Prime Factorization

Given numbers are 162, 825, 183, 711

The list of prime factors of all numbers are

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 183 are 3 x 61

Prime factors of 711 are 3 x 3 x 79

The highest common occurrence is 31

Therefore, GCD of 162, 825, 183, 711 is 3.

Steps to Calculate GCD of 162, 825, 183, 711 using LCM Formula

Given numbers are 162, 825, 183, 711

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

Apply this formula for all numbers.

Step1:

LCM(162, 825) = 44550

GCD(162, 825) = ( 162 x 825 ) / 44550

= 162 / 825

= 162


Step2:

LCM(3, 183) = 183

GCD(3, 183) = ( 3 x 183 ) / 183

= 3 / 183

= 3


Step3:

LCM(3, 711) = 711

GCD(3, 711) = ( 3 x 711 ) / 711

= 3 / 711

= 3


So, Greatest Common Divisor of 162, 825, 183, 711 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 162, 825, 183, 711

Given numbers are 162, 825, 183, 711
The greatest common divisor of numbers 162, 825, 183, 711 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 825, 183, 711 is 3.

FAQs on GCD of 162, 825, 183, 711 Calculator

1. What is the GCD of 162, 825, 183, 711?

GCD of given numbers 162, 825, 183, 711 is 3


2. How to calculate the greatest common divisor of 162, 825, 183, 711?

We can find the highest common divisor of 162, 825, 183, 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 162, 825, 183, 711 i.e 3.


3. How can I use the GCD of 162, 825, 183, 711Calculator?

Out the numbers 162, 825, 183, 711 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.