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GCD of 711, 180, 560 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, 180, 560 quickly. Get the easiest ways to solve the greatest common divisor of 711, 180, 560 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 711, 180, 560 with Factoring?

Given Input numbers are 711, 180, 560

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560


GCD of numbers is the greatest common divisor

So, the GCD (711, 180, 560) = 1.

Find GCD of 711, 180, 560 using Prime Factorization

Given numbers are 711, 180, 560

The list of prime factors of all numbers are

Prime factors of 711 are 3 x 3 x 79

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 711, 180, 560 using LCM Formula

Given numbers are 711, 180, 560

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

Apply this formula for all numbers.

Step1:

LCM(711, 180) = 14220

GCD(711, 180) = ( 711 x 180 ) / 14220

= 711 / 180

= 711


Step2:

LCM(9, 560) = 5040

GCD(9, 560) = ( 9 x 560 ) / 5040

= 9 / 560

= 9


So, Greatest Common Divisor of 711, 180, 560 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 711, 180, 560

Given numbers are 711, 180, 560
The greatest common divisor of numbers 711, 180, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 711, 180, 560 is 1.

FAQs on GCD of 711, 180, 560 Calculator

1. What is the GCD of 711, 180, 560?

GCD of given numbers 711, 180, 560 is 1


2. How to calculate the greatest common divisor of 711, 180, 560?

We can find the highest common divisor of 711, 180, 560 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, 180, 560 i.e 1.


3. How can I use the GCD of 711, 180, 560Calculator?

Out the numbers 711, 180, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.