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GCD of 711, 165, 120, 561 Calculator

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


Online GCD Calculator is useful to find the GCD of 711, 165, 120, 561 quickly. Get the easiest ways to solve the greatest common divisor of 711, 165, 120, 561 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 711, 165, 120, 561 with Factoring?

Given Input numbers are 711, 165, 120, 561

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

Divisors of 711 :

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

1, 3, 9, 79, 237, 711

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561


GCD of numbers is the greatest common divisor

So, the GCD (711, 165, 120, 561) = 3.

Find GCD of 711, 165, 120, 561 using Prime Factorization

Given numbers are 711, 165, 120, 561

The list of prime factors of all numbers are

Prime factors of 711 are 3 x 3 x 79

Prime factors of 165 are 3 x 5 x 11

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 561 are 3 x 11 x 17

The highest common occurrence is 31

Therefore, GCD of 711, 165, 120, 561 is 3.

Steps to Calculate GCD of 711, 165, 120, 561 using LCM Formula

Given numbers are 711, 165, 120, 561

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

Apply this formula for all numbers.

Step1:

LCM(711, 165) = 39105

GCD(711, 165) = ( 711 x 165 ) / 39105

= 711 / 165

= 711


Step2:

LCM(3, 120) = 120

GCD(3, 120) = ( 3 x 120 ) / 120

= 3 / 120

= 3


Step3:

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

= 3 / 561

= 3


So, Greatest Common Divisor of 711, 165, 120, 561 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 711, 165, 120, 561

Given numbers are 711, 165, 120, 561
The greatest common divisor of numbers 711, 165, 120, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 711, 165, 120, 561 is 3.

FAQs on GCD of 711, 165, 120, 561 Calculator

1. What is the GCD of 711, 165, 120, 561?

GCD of given numbers 711, 165, 120, 561 is 3


2. How to calculate the greatest common divisor of 711, 165, 120, 561?

We can find the highest common divisor of 711, 165, 120, 561 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 711, 165, 120, 561 i.e 3.


3. How can I use the GCD of 711, 165, 120, 561Calculator?

Out the numbers 711, 165, 120, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.