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GCD of 132, 298, 333, 614 Calculator

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


Online GCD Calculator is useful to find the GCD of 132, 298, 333, 614 quickly. Get the easiest ways to solve the greatest common divisor of 132, 298, 333, 614 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 132, 298, 333, 614 with Factoring?

Given Input numbers are 132, 298, 333, 614

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614


GCD of numbers is the greatest common divisor

So, the GCD (132, 298, 333, 614) = 1.

Find GCD of 132, 298, 333, 614 using Prime Factorization

Given numbers are 132, 298, 333, 614

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 298 are 2 x 149

Prime factors of 333 are 3 x 3 x 37

Prime factors of 614 are 2 x 307

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

Steps to Calculate GCD of 132, 298, 333, 614 using LCM Formula

Given numbers are 132, 298, 333, 614

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

Apply this formula for all numbers.

Step1:

LCM(132, 298) = 19668

GCD(132, 298) = ( 132 x 298 ) / 19668

= 132 / 298

= 132


Step2:

LCM(2, 333) = 666

GCD(2, 333) = ( 2 x 333 ) / 666

= 2 / 333

= 2


Step3:

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

= 1 / 614

= 1


So, Greatest Common Divisor of 132, 298, 333, 614 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 132, 298, 333, 614

Given numbers are 132, 298, 333, 614
The greatest common divisor of numbers 132, 298, 333, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 298, 333, 614 is 1.

FAQs on GCD of 132, 298, 333, 614 Calculator

1. What is the GCD of 132, 298, 333, 614?

GCD of given numbers 132, 298, 333, 614 is 1


2. How to calculate the greatest common divisor of 132, 298, 333, 614?

We can find the highest common divisor of 132, 298, 333, 614 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 132, 298, 333, 614 i.e 1.


3. How can I use the GCD of 132, 298, 333, 614Calculator?

Out the numbers 132, 298, 333, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.