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GCD of 730, 360, 159, 544 Calculator

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


Online GCD Calculator is useful to find the GCD of 730, 360, 159, 544 quickly. Get the easiest ways to solve the greatest common divisor of 730, 360, 159, 544 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 730, 360, 159, 544 with Factoring?

Given Input numbers are 730, 360, 159, 544

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544


GCD of numbers is the greatest common divisor

So, the GCD (730, 360, 159, 544) = 1.

Find GCD of 730, 360, 159, 544 using Prime Factorization

Given numbers are 730, 360, 159, 544

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 159 are 3 x 53

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

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

Steps to Calculate GCD of 730, 360, 159, 544 using LCM Formula

Given numbers are 730, 360, 159, 544

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

Apply this formula for all numbers.

Step1:

LCM(730, 360) = 26280

GCD(730, 360) = ( 730 x 360 ) / 26280

= 730 / 360

= 730


Step2:

LCM(10, 159) = 1590

GCD(10, 159) = ( 10 x 159 ) / 1590

= 10 / 159

= 10


Step3:

LCM(1, 544) = 544

GCD(1, 544) = ( 1 x 544 ) / 544

= 1 / 544

= 1


So, Greatest Common Divisor of 730, 360, 159, 544 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 730, 360, 159, 544

Given numbers are 730, 360, 159, 544
The greatest common divisor of numbers 730, 360, 159, 544 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 360, 159, 544 is 1.

FAQs on GCD of 730, 360, 159, 544 Calculator

1. What is the GCD of 730, 360, 159, 544?

GCD of given numbers 730, 360, 159, 544 is 1


2. How to calculate the greatest common divisor of 730, 360, 159, 544?

We can find the highest common divisor of 730, 360, 159, 544 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 730, 360, 159, 544 i.e 1.


3. How can I use the GCD of 730, 360, 159, 544Calculator?

Out the numbers 730, 360, 159, 544 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.