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GCD of 423, 852, 183, 343 Calculator

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


Online GCD Calculator is useful to find the GCD of 423, 852, 183, 343 quickly. Get the easiest ways to solve the greatest common divisor of 423, 852, 183, 343 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 423, 852, 183, 343 with Factoring?

Given Input numbers are 423, 852, 183, 343

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

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 183 :

The positive integer divisors of 183 that completely divides 183 are.

1, 3, 61, 183

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343


GCD of numbers is the greatest common divisor

So, the GCD (423, 852, 183, 343) = 1.

Find GCD of 423, 852, 183, 343 using Prime Factorization

Given numbers are 423, 852, 183, 343

The list of prime factors of all numbers are

Prime factors of 423 are 3 x 3 x 47

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 183 are 3 x 61

Prime factors of 343 are 7 x 7 x 7

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

Steps to Calculate GCD of 423, 852, 183, 343 using LCM Formula

Given numbers are 423, 852, 183, 343

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

Apply this formula for all numbers.

Step1:

LCM(423, 852) = 120132

GCD(423, 852) = ( 423 x 852 ) / 120132

= 423 / 852

= 423


Step2:

LCM(3, 183) = 183

GCD(3, 183) = ( 3 x 183 ) / 183

= 3 / 183

= 3


Step3:

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

= 3 / 343

= 3


So, Greatest Common Divisor of 423, 852, 183, 343 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 423, 852, 183, 343

Given numbers are 423, 852, 183, 343
The greatest common divisor of numbers 423, 852, 183, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 423, 852, 183, 343 is 1.

FAQs on GCD of 423, 852, 183, 343 Calculator

1. What is the GCD of 423, 852, 183, 343?

GCD of given numbers 423, 852, 183, 343 is 1


2. How to calculate the greatest common divisor of 423, 852, 183, 343?

We can find the highest common divisor of 423, 852, 183, 343 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 423, 852, 183, 343 i.e 1.


3. How can I use the GCD of 423, 852, 183, 343Calculator?

Out the numbers 423, 852, 183, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.