GCD of 180, 513, 729, 978 Calculator

Given Input numbers are 180, 513, 729, 978

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

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 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 729 :

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

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

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

GCD of numbers is the greatest common divisor

So, the GCD (180, 513, 729, 978) = 3.

Given numbers are 180, 513, 729, 978

The list of prime factors of all numbers are

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

Prime factors of 513 are 3 x 3 x 3 x 19

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

Prime factors of 978 are 2 x 3 x 163

The highest common occurrence is 3¹

Therefore, GCD of 180, 513, 729, 978 is 3.

Given numbers are 180, 513, 729, 978

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

Apply this formula for all numbers.

Step1:

LCM(180, 513) = 10260

GCD(180, 513) = ( 180 x 513 ) / 10260

= 180 / 513

= 180

Step2:

LCM(9, 729) = 729

GCD(9, 729) = ( 9 x 729 ) / 729

= 9 / 729

= 9

Step3:

LCM(9, 978) = 2934

GCD(9, 978) = ( 9 x 978 ) / 2934

= 9 / 978

= 9

So, Greatest Common Divisor of 180, 513, 729, 978 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 734, 356, 145
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Given numbers are 180, 513, 729, 978
The greatest common divisor of numbers 180, 513, 729, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 513, 729, 978 is 3.

1. What is the GCD of 180, 513, 729, 978?

GCD of given numbers 180, 513, 729, 978 is 3

2. How to calculate the greatest common divisor of 180, 513, 729, 978?

We can find the highest common divisor of 180, 513, 729, 978 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 180, 513, 729, 978 i.e 3.

3. How can I use the GCD of 180, 513, 729, 978Calculator?

Out the numbers 180, 513, 729, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.