GCD of 561, 729, 180, 709 Calculator

Given Input numbers are 561, 729, 180, 709

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

Divisors of 561 :

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

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

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

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 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

GCD of numbers is the greatest common divisor

So, the GCD (561, 729, 180, 709) = 1.

Given numbers are 561, 729, 180, 709

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

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

Prime factors of 709 are 709

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

Given numbers are 561, 729, 180, 709

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

Apply this formula for all numbers.

Step1:

LCM(561, 729) = 136323

GCD(561, 729) = ( 561 x 729 ) / 136323

= 561 / 729

= 561

Step2:

LCM(3, 180) = 180

GCD(3, 180) = ( 3 x 180 ) / 180

= 3 / 180

= 3

Step3:

LCM(3, 709) = 2127

GCD(3, 709) = ( 3 x 709 ) / 2127

= 3 / 709

= 3

So, Greatest Common Divisor of 561, 729, 180, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 529, 492, 669
• GCD of 539, 690, 424, 335
• GCD of 387, 203, 135, 267
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• GCD of 452, 925, 542, 310

Given numbers are 561, 729, 180, 709
The greatest common divisor of numbers 561, 729, 180, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 729, 180, 709 is 1.

1. What is the GCD of 561, 729, 180, 709?

GCD of given numbers 561, 729, 180, 709 is 1

2. How to calculate the greatest common divisor of 561, 729, 180, 709?

We can find the highest common divisor of 561, 729, 180, 709 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 561, 729, 180, 709 i.e 1.

3. How can I use the GCD of 561, 729, 180, 709Calculator?

Out the numbers 561, 729, 180, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.