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GCD of 509, 470, 720, 532 Calculator

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


Online GCD Calculator is useful to find the GCD of 509, 470, 720, 532 quickly. Get the easiest ways to solve the greatest common divisor of 509, 470, 720, 532 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 509, 470, 720, 532 with Factoring?

Given Input numbers are 509, 470, 720, 532

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532


GCD of numbers is the greatest common divisor

So, the GCD (509, 470, 720, 532) = 1.

Find GCD of 509, 470, 720, 532 using Prime Factorization

Given numbers are 509, 470, 720, 532

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 470 are 2 x 5 x 47

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 532 are 2 x 2 x 7 x 19

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

Steps to Calculate GCD of 509, 470, 720, 532 using LCM Formula

Given numbers are 509, 470, 720, 532

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

Apply this formula for all numbers.

Step1:

LCM(509, 470) = 239230

GCD(509, 470) = ( 509 x 470 ) / 239230

= 509 / 470

= 509


Step2:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1


Step3:

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

= 1 / 532

= 1


So, Greatest Common Divisor of 509, 470, 720, 532 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 509, 470, 720, 532

Given numbers are 509, 470, 720, 532
The greatest common divisor of numbers 509, 470, 720, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 470, 720, 532 is 1.

FAQs on GCD of 509, 470, 720, 532 Calculator

1. What is the GCD of 509, 470, 720, 532?

GCD of given numbers 509, 470, 720, 532 is 1


2. How to calculate the greatest common divisor of 509, 470, 720, 532?

We can find the highest common divisor of 509, 470, 720, 532 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 509, 470, 720, 532 i.e 1.


3. How can I use the GCD of 509, 470, 720, 532Calculator?

Out the numbers 509, 470, 720, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.