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GCD of 232, 209, 67, 684 Calculator

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


Online GCD Calculator is useful to find the GCD of 232, 209, 67, 684 quickly. Get the easiest ways to solve the greatest common divisor of 232, 209, 67, 684 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 232, 209, 67, 684 with Factoring?

Given Input numbers are 232, 209, 67, 684

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

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 67 :

The positive integer divisors of 67 that completely divides 67 are.

1, 67

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684


GCD of numbers is the greatest common divisor

So, the GCD (232, 209, 67, 684) = 1.

Find GCD of 232, 209, 67, 684 using Prime Factorization

Given numbers are 232, 209, 67, 684

The list of prime factors of all numbers are

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 209 are 11 x 19

Prime factors of 67 are 67

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Steps to Calculate GCD of 232, 209, 67, 684 using LCM Formula

Given numbers are 232, 209, 67, 684

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

Apply this formula for all numbers.

Step1:

LCM(232, 209) = 48488

GCD(232, 209) = ( 232 x 209 ) / 48488

= 232 / 209

= 232


Step2:

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

= 1 / 67

= 1


Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1


So, Greatest Common Divisor of 232, 209, 67, 684 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 232, 209, 67, 684

Given numbers are 232, 209, 67, 684
The greatest common divisor of numbers 232, 209, 67, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 232, 209, 67, 684 is 1.

FAQs on GCD of 232, 209, 67, 684 Calculator

1. What is the GCD of 232, 209, 67, 684?

GCD of given numbers 232, 209, 67, 684 is 1


2. How to calculate the greatest common divisor of 232, 209, 67, 684?

We can find the highest common divisor of 232, 209, 67, 684 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 232, 209, 67, 684 i.e 1.


3. How can I use the GCD of 232, 209, 67, 684Calculator?

Out the numbers 232, 209, 67, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.