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GCD of 309, 298, 669, 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 309, 298, 669, 697 quickly. Get the easiest ways to solve the greatest common divisor of 309, 298, 669, 697 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 309, 298, 669, 697 with Factoring?

Given Input numbers are 309, 298, 669, 697

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

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


GCD of numbers is the greatest common divisor

So, the GCD (309, 298, 669, 697) = 1.

Find GCD of 309, 298, 669, 697 using Prime Factorization

Given numbers are 309, 298, 669, 697

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 298 are 2 x 149

Prime factors of 669 are 3 x 223

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 309, 298, 669, 697 using LCM Formula

Given numbers are 309, 298, 669, 697

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

Apply this formula for all numbers.

Step1:

LCM(309, 298) = 92082

GCD(309, 298) = ( 309 x 298 ) / 92082

= 309 / 298

= 309


Step2:

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

= 1 / 669

= 1


Step3:

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

= 1 / 697

= 1


So, Greatest Common Divisor of 309, 298, 669, 697 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 309, 298, 669, 697

Given numbers are 309, 298, 669, 697
The greatest common divisor of numbers 309, 298, 669, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 298, 669, 697 is 1.

FAQs on GCD of 309, 298, 669, 697 Calculator

1. What is the GCD of 309, 298, 669, 697?

GCD of given numbers 309, 298, 669, 697 is 1


2. How to calculate the greatest common divisor of 309, 298, 669, 697?

We can find the highest common divisor of 309, 298, 669, 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 309, 298, 669, 697 i.e 1.


3. How can I use the GCD of 309, 298, 669, 697Calculator?

Out the numbers 309, 298, 669, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.