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GCD of 245, 689, 205, 729 Calculator

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


Online GCD Calculator is useful to find the GCD of 245, 689, 205, 729 quickly. Get the easiest ways to solve the greatest common divisor of 245, 689, 205, 729 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 245, 689, 205, 729 with Factoring?

Given Input numbers are 245, 689, 205, 729

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

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729


GCD of numbers is the greatest common divisor

So, the GCD (245, 689, 205, 729) = 1.

Find GCD of 245, 689, 205, 729 using Prime Factorization

Given numbers are 245, 689, 205, 729

The list of prime factors of all numbers are

Prime factors of 245 are 5 x 7 x 7

Prime factors of 689 are 13 x 53

Prime factors of 205 are 5 x 41

Prime factors of 729 are 3 x 3 x 3 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 245, 689, 205, 729 using LCM Formula

Given numbers are 245, 689, 205, 729

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

Apply this formula for all numbers.

Step1:

LCM(245, 689) = 168805

GCD(245, 689) = ( 245 x 689 ) / 168805

= 245 / 689

= 245


Step2:

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

= 1 / 205

= 1


Step3:

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

= 1 / 729

= 1


So, Greatest Common Divisor of 245, 689, 205, 729 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 245, 689, 205, 729

Given numbers are 245, 689, 205, 729
The greatest common divisor of numbers 245, 689, 205, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 245, 689, 205, 729 is 1.

FAQs on GCD of 245, 689, 205, 729 Calculator

1. What is the GCD of 245, 689, 205, 729?

GCD of given numbers 245, 689, 205, 729 is 1


2. How to calculate the greatest common divisor of 245, 689, 205, 729?

We can find the highest common divisor of 245, 689, 205, 729 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 245, 689, 205, 729 i.e 1.


3. How can I use the GCD of 245, 689, 205, 729Calculator?

Out the numbers 245, 689, 205, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.