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GCD of 107, 342, 423 Calculator

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


Online GCD Calculator is useful to find the GCD of 107, 342, 423 quickly. Get the easiest ways to solve the greatest common divisor of 107, 342, 423 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 107, 342, 423 with Factoring?

Given Input numbers are 107, 342, 423

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

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 423 :

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

1, 3, 9, 47, 141, 423


GCD of numbers is the greatest common divisor

So, the GCD (107, 342, 423) = 1.

Find GCD of 107, 342, 423 using Prime Factorization

Given numbers are 107, 342, 423

The list of prime factors of all numbers are

Prime factors of 107 are 107

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 423 are 3 x 3 x 47

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

Steps to Calculate GCD of 107, 342, 423 using LCM Formula

Given numbers are 107, 342, 423

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

Apply this formula for all numbers.

Step1:

LCM(107, 342) = 36594

GCD(107, 342) = ( 107 x 342 ) / 36594

= 107 / 342

= 107


Step2:

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

= 1 / 423

= 1


So, Greatest Common Divisor of 107, 342, 423 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 107, 342, 423

Given numbers are 107, 342, 423
The greatest common divisor of numbers 107, 342, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 342, 423 is 1.

FAQs on GCD of 107, 342, 423 Calculator

1. What is the GCD of 107, 342, 423?

GCD of given numbers 107, 342, 423 is 1


2. How to calculate the greatest common divisor of 107, 342, 423?

We can find the highest common divisor of 107, 342, 423 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 107, 342, 423 i.e 1.


3. How can I use the GCD of 107, 342, 423Calculator?

Out the numbers 107, 342, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.