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GCD of 513, 285, 747, 710 Calculator

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


Online GCD Calculator is useful to find the GCD of 513, 285, 747, 710 quickly. Get the easiest ways to solve the greatest common divisor of 513, 285, 747, 710 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 513, 285, 747, 710 with Factoring?

Given Input numbers are 513, 285, 747, 710

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

Divisors of 513 :

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

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

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710


GCD of numbers is the greatest common divisor

So, the GCD (513, 285, 747, 710) = 1.

Find GCD of 513, 285, 747, 710 using Prime Factorization

Given numbers are 513, 285, 747, 710

The list of prime factors of all numbers are

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

Prime factors of 285 are 3 x 5 x 19

Prime factors of 747 are 3 x 3 x 83

Prime factors of 710 are 2 x 5 x 71

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

Steps to Calculate GCD of 513, 285, 747, 710 using LCM Formula

Given numbers are 513, 285, 747, 710

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

Apply this formula for all numbers.

Step1:

LCM(513, 285) = 2565

GCD(513, 285) = ( 513 x 285 ) / 2565

= 513 / 285

= 513


Step2:

LCM(57, 747) = 14193

GCD(57, 747) = ( 57 x 747 ) / 14193

= 57 / 747

= 57


Step3:

LCM(3, 710) = 2130

GCD(3, 710) = ( 3 x 710 ) / 2130

= 3 / 710

= 3


So, Greatest Common Divisor of 513, 285, 747, 710 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 513, 285, 747, 710

Given numbers are 513, 285, 747, 710
The greatest common divisor of numbers 513, 285, 747, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 285, 747, 710 is 1.

FAQs on GCD of 513, 285, 747, 710 Calculator

1. What is the GCD of 513, 285, 747, 710?

GCD of given numbers 513, 285, 747, 710 is 1


2. How to calculate the greatest common divisor of 513, 285, 747, 710?

We can find the highest common divisor of 513, 285, 747, 710 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 513, 285, 747, 710 i.e 1.


3. How can I use the GCD of 513, 285, 747, 710Calculator?

Out the numbers 513, 285, 747, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.