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GCD of 114, 331, 355, 342 Calculator

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


Online GCD Calculator is useful to find the GCD of 114, 331, 355, 342 quickly. Get the easiest ways to solve the greatest common divisor of 114, 331, 355, 342 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 114, 331, 355, 342 with Factoring?

Given Input numbers are 114, 331, 355, 342

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

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


GCD of numbers is the greatest common divisor

So, the GCD (114, 331, 355, 342) = 1.

Find GCD of 114, 331, 355, 342 using Prime Factorization

Given numbers are 114, 331, 355, 342

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 331 are 331

Prime factors of 355 are 5 x 71

Prime factors of 342 are 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 114, 331, 355, 342 using LCM Formula

Given numbers are 114, 331, 355, 342

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

Apply this formula for all numbers.

Step1:

LCM(114, 331) = 37734

GCD(114, 331) = ( 114 x 331 ) / 37734

= 114 / 331

= 114


Step2:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1


Step3:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1


So, Greatest Common Divisor of 114, 331, 355, 342 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 114, 331, 355, 342

Given numbers are 114, 331, 355, 342
The greatest common divisor of numbers 114, 331, 355, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 331, 355, 342 is 1.

FAQs on GCD of 114, 331, 355, 342 Calculator

1. What is the GCD of 114, 331, 355, 342?

GCD of given numbers 114, 331, 355, 342 is 1


2. How to calculate the greatest common divisor of 114, 331, 355, 342?

We can find the highest common divisor of 114, 331, 355, 342 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 114, 331, 355, 342 i.e 1.


3. How can I use the GCD of 114, 331, 355, 342Calculator?

Out the numbers 114, 331, 355, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.