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GCD of 348, 717, 636, 453 Calculator

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


Online GCD Calculator is useful to find the GCD of 348, 717, 636, 453 quickly. Get the easiest ways to solve the greatest common divisor of 348, 717, 636, 453 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 348, 717, 636, 453 with Factoring?

Given Input numbers are 348, 717, 636, 453

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 453 :

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

1, 3, 151, 453


GCD of numbers is the greatest common divisor

So, the GCD (348, 717, 636, 453) = 3.

Find GCD of 348, 717, 636, 453 using Prime Factorization

Given numbers are 348, 717, 636, 453

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 717 are 3 x 239

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 453 are 3 x 151

The highest common occurrence is 31

Therefore, GCD of 348, 717, 636, 453 is 3.

Steps to Calculate GCD of 348, 717, 636, 453 using LCM Formula

Given numbers are 348, 717, 636, 453

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

Apply this formula for all numbers.

Step1:

LCM(348, 717) = 83172

GCD(348, 717) = ( 348 x 717 ) / 83172

= 348 / 717

= 348


Step2:

LCM(3, 636) = 636

GCD(3, 636) = ( 3 x 636 ) / 636

= 3 / 636

= 3


Step3:

LCM(3, 453) = 453

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

= 3 / 453

= 3


So, Greatest Common Divisor of 348, 717, 636, 453 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 348, 717, 636, 453

Given numbers are 348, 717, 636, 453
The greatest common divisor of numbers 348, 717, 636, 453 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 717, 636, 453 is 3.

FAQs on GCD of 348, 717, 636, 453 Calculator

1. What is the GCD of 348, 717, 636, 453?

GCD of given numbers 348, 717, 636, 453 is 3


2. How to calculate the greatest common divisor of 348, 717, 636, 453?

We can find the highest common divisor of 348, 717, 636, 453 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 348, 717, 636, 453 i.e 3.


3. How can I use the GCD of 348, 717, 636, 453Calculator?

Out the numbers 348, 717, 636, 453 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.