Where do I get the detailed procedure to find GCD of 669, 697, 374?

You can find a detailed procedure to find GCD of 669, 697, 374 on our page.

How to find GCD of 669, 697, 374 on a calculator?

You can find the GCD of 669, 697, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 669, 697, 374 Calculator

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

Online GCD Calculator is useful to find the GCD of 669, 697, 374 quickly. Get the easiest ways to solve the greatest common divisor of 669, 697, 374 i.e 1 in different methods as follows.

How to Find GCD of Numbers 669, 697, 374 with Factoring?

Given Input numbers are 669, 697, 374

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

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 697 :

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

1, 17, 41, 697

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (669, 697, 374) = 1.

Find GCD of 669, 697, 374 using Prime Factorization

Given numbers are 669, 697, 374

The list of prime factors of all numbers are

Prime factors of 669 are 3 x 223

Prime factors of 697 are 17 x 41

Prime factors of 374 are 2 x 11 x 17

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

Steps to Calculate GCD of 669, 697, 374 using LCM Formula

Given numbers are 669, 697, 374

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

Apply this formula for all numbers.

Step1:

LCM(669, 697) = 466293

GCD(669, 697) = ( 669 x 697 ) / 466293

= 669 / 697

= 669

Step2:

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

= 1 / 374

= 1

So, Greatest Common Divisor of 669, 697, 374 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 669, 697, 374

Given numbers are 669, 697, 374
The greatest common divisor of numbers 669, 697, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 669, 697, 374 is 1.

FAQs on GCD of 669, 697, 374 Calculator

1. What is the GCD of 669, 697, 374?

GCD of given numbers 669, 697, 374 is 1

2. How to calculate the greatest common divisor of 669, 697, 374?

We can find the highest common divisor of 669, 697, 374 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 669, 697, 374 i.e 1.

3. How can I use the GCD of 669, 697, 374Calculator?

Out the numbers 669, 697, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.