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GCD of 413, 560, 713, 432 Calculator

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


Online GCD Calculator is useful to find the GCD of 413, 560, 713, 432 quickly. Get the easiest ways to solve the greatest common divisor of 413, 560, 713, 432 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 413, 560, 713, 432 with Factoring?

Given Input numbers are 413, 560, 713, 432

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

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432


GCD of numbers is the greatest common divisor

So, the GCD (413, 560, 713, 432) = 1.

Find GCD of 413, 560, 713, 432 using Prime Factorization

Given numbers are 413, 560, 713, 432

The list of prime factors of all numbers are

Prime factors of 413 are 7 x 59

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 713 are 23 x 31

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Steps to Calculate GCD of 413, 560, 713, 432 using LCM Formula

Given numbers are 413, 560, 713, 432

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

Apply this formula for all numbers.

Step1:

LCM(413, 560) = 33040

GCD(413, 560) = ( 413 x 560 ) / 33040

= 413 / 560

= 413


Step2:

LCM(7, 713) = 4991

GCD(7, 713) = ( 7 x 713 ) / 4991

= 7 / 713

= 7


Step3:

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

= 1 / 432

= 1


So, Greatest Common Divisor of 413, 560, 713, 432 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 413, 560, 713, 432

Given numbers are 413, 560, 713, 432
The greatest common divisor of numbers 413, 560, 713, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 413, 560, 713, 432 is 1.

FAQs on GCD of 413, 560, 713, 432 Calculator

1. What is the GCD of 413, 560, 713, 432?

GCD of given numbers 413, 560, 713, 432 is 1


2. How to calculate the greatest common divisor of 413, 560, 713, 432?

We can find the highest common divisor of 413, 560, 713, 432 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 413, 560, 713, 432 i.e 1.


3. How can I use the GCD of 413, 560, 713, 432Calculator?

Out the numbers 413, 560, 713, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.