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GCD of 609, 699, 453, 117 Calculator

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


Online GCD Calculator is useful to find the GCD of 609, 699, 453, 117 quickly. Get the easiest ways to solve the greatest common divisor of 609, 699, 453, 117 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 609, 699, 453, 117 with Factoring?

Given Input numbers are 609, 699, 453, 117

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

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 453 :

The positive integer divisors of 453 that completely divides 453 are.

1, 3, 151, 453

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117


GCD of numbers is the greatest common divisor

So, the GCD (609, 699, 453, 117) = 3.

Find GCD of 609, 699, 453, 117 using Prime Factorization

Given numbers are 609, 699, 453, 117

The list of prime factors of all numbers are

Prime factors of 609 are 3 x 7 x 29

Prime factors of 699 are 3 x 233

Prime factors of 453 are 3 x 151

Prime factors of 117 are 3 x 3 x 13

The highest common occurrence is 31

Therefore, GCD of 609, 699, 453, 117 is 3.

Steps to Calculate GCD of 609, 699, 453, 117 using LCM Formula

Given numbers are 609, 699, 453, 117

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

Apply this formula for all numbers.

Step1:

LCM(609, 699) = 141897

GCD(609, 699) = ( 609 x 699 ) / 141897

= 609 / 699

= 609


Step2:

LCM(3, 453) = 453

GCD(3, 453) = ( 3 x 453 ) / 453

= 3 / 453

= 3


Step3:

LCM(3, 117) = 117

GCD(3, 117) = ( 3 x 117 ) / 117

= 3 / 117

= 3


So, Greatest Common Divisor of 609, 699, 453, 117 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 609, 699, 453, 117

Given numbers are 609, 699, 453, 117
The greatest common divisor of numbers 609, 699, 453, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 699, 453, 117 is 3.

FAQs on GCD of 609, 699, 453, 117 Calculator

1. What is the GCD of 609, 699, 453, 117?

GCD of given numbers 609, 699, 453, 117 is 3


2. How to calculate the greatest common divisor of 609, 699, 453, 117?

We can find the highest common divisor of 609, 699, 453, 117 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 609, 699, 453, 117 i.e 3.


3. How can I use the GCD of 609, 699, 453, 117Calculator?

Out the numbers 609, 699, 453, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.