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GCD of 513, 434, 272 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, 434, 272 quickly. Get the easiest ways to solve the greatest common divisor of 513, 434, 272 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 513, 434, 272 with Factoring?

Given Input numbers are 513, 434, 272

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 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

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


GCD of numbers is the greatest common divisor

So, the GCD (513, 434, 272) = 1.

Find GCD of 513, 434, 272 using Prime Factorization

Given numbers are 513, 434, 272

The list of prime factors of all numbers are

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

Prime factors of 434 are 2 x 7 x 31

Prime factors of 272 are 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 513, 434, 272 using LCM Formula

Given numbers are 513, 434, 272

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

Apply this formula for all numbers.

Step1:

LCM(513, 434) = 222642

GCD(513, 434) = ( 513 x 434 ) / 222642

= 513 / 434

= 513


Step2:

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

= 1 / 272

= 1


So, Greatest Common Divisor of 513, 434, 272 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 513, 434, 272

Given numbers are 513, 434, 272
The greatest common divisor of numbers 513, 434, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 434, 272 is 1.

FAQs on GCD of 513, 434, 272 Calculator

1. What is the GCD of 513, 434, 272?

GCD of given numbers 513, 434, 272 is 1


2. How to calculate the greatest common divisor of 513, 434, 272?

We can find the highest common divisor of 513, 434, 272 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, 434, 272 i.e 1.


3. How can I use the GCD of 513, 434, 272Calculator?

Out the numbers 513, 434, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.