LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 204, 712, 697 Calculator

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


Online GCD Calculator is useful to find the GCD of 204, 712, 697 quickly. Get the easiest ways to solve the greatest common divisor of 204, 712, 697 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 204, 712, 697 with Factoring?

Given Input numbers are 204, 712, 697

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

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697


GCD of numbers is the greatest common divisor

So, the GCD (204, 712, 697) = 1.

Find GCD of 204, 712, 697 using Prime Factorization

Given numbers are 204, 712, 697

The list of prime factors of all numbers are

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 697 are 17 x 41

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

Steps to Calculate GCD of 204, 712, 697 using LCM Formula

Given numbers are 204, 712, 697

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

Apply this formula for all numbers.

Step1:

LCM(204, 712) = 36312

GCD(204, 712) = ( 204 x 712 ) / 36312

= 204 / 712

= 204


Step2:

LCM(4, 697) = 2788

GCD(4, 697) = ( 4 x 697 ) / 2788

= 4 / 697

= 4


So, Greatest Common Divisor of 204, 712, 697 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 204, 712, 697

Given numbers are 204, 712, 697
The greatest common divisor of numbers 204, 712, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 712, 697 is 1.

FAQs on GCD of 204, 712, 697 Calculator

1. What is the GCD of 204, 712, 697?

GCD of given numbers 204, 712, 697 is 1


2. How to calculate the greatest common divisor of 204, 712, 697?

We can find the highest common divisor of 204, 712, 697 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 204, 712, 697 i.e 1.


3. How can I use the GCD of 204, 712, 697Calculator?

Out the numbers 204, 712, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.